Mathematical / Computational / Theoretical physics Books
World Scientific Publishing Company Macroscopic Electrodynamics An Introductory
Book Synopsis
£85.50
World Scientific Publishing Co Pte Ltd Wave Scattering By Small Bodies: Creating
Book SynopsisThe book is a research monograph. An asymptotically exact solution of the many-body scattering problem is given under the assumption a ≪ d ≪ λ, where a is the characteristic size of a small particle, d is the smallest distance between particles and λ is the wavelength in the medium in which the particles are embedded. Scattering of scalar and electromagnetic waves is considered. Heat transfer theory in the medium in which many small bodies are embedded is developed. Quantum-mechanical theory of scattering by many potentials with small support is constructed.On the basis of these theoretical results, important applications are presented. First, a method for creating materials with a desired refraction coefficient is given. Secondly, a method for creating wave-focusing materials is developed. Technological problems to be solved for practical usage of these applied results are discussed.This book contains the contents of the author's earlier monograph, published in 2013. New appendices, based on the author's review papers published after 2013, are added.
£90.00
World Scientific Publishing Company Newtons Principia For The Modern Student
Book Synopsis
£137.75
World Scientific Publishing Co Pte Ltd Essence Of A Genius, The: A Tribute To Yoichiro
Book SynopsisYoichiro Nambu was one of the giants in the physics of the last century. His profound ideas in fundamental physics are still playing an important role and are being rediscovered over and over again.He preferred to share some of his deepest insights in talks, rather than publications, but Nambu's papers and talks were not easy to understand. Like the Japanese gentleman he was, he did not want to humiliate the reader with obvious statements. Even if it is an interpretation, it fits very well with his character of a very polite and considerate human being with a self-reliance inside him that he did not show on the outside. It is no wonder that many of his breakthroughs were not immediately appreciated by his contemporaries, with a late award of a well-deserved Nobel Prize. He was probably the only one in the highest stratum of physicists who was respected by everybody.The purpose of this book, half-history, half-physics is to trace Nambu's progress formulating some of his greatest ideas. It is structured in seven chapters, describing a paper or a series of papers (or talks) where Nambu's originality and genius emerge. Each chapter begins with a historical background section that sets the physics climate of the time, followed by a somewhat detailed discussion of his papers/talks.This tribute to Nambu hopes that he will be remembered and admired for many years to come.
£81.00
World Scientific Publishing Co Pte Ltd Selected Papers Of Leonid V. Keldysh
Book SynopsisThis book is a compilation of reprints of the major works by the prominent Soviet and Russian theoretical physicists, Leonid V Keldysh. He made important contributions to condensed matter theory, developing new approaches and methods, and discovering beautiful new physical effects later confirmed by experiments.Keldysh developed the consistent theory of phonon assisted tunneling in semiconductors and calculated the electric field induced shift of absorption edge in semiconductors, what is now called Franz-Keldysh effect. He also developed the original theory of deep levels in semiconductors. One of his most famous works was the 1964 theory of multiple photon ionization of atoms by intensive electromagnetic waves, thereby laying the foundation for the entire field of intense laser radiation interaction with atoms, ions, molecules, and solids. This theory introduced optical tunneling and beyond — threshold ionization, experimentally observed about 15 years later.
£99.00
World Scientific Publishing Co Pte Ltd Analysis On Fock Spaces And Mathematical Theory
Book SynopsisThis book provides a comprehensive introduction to Fock space theory and its applications to mathematical quantum field theory. The first half of the book, Part I, is devoted to detailed descriptions of analysis on abstract Fock spaces (full Fock space, boson Fock space, fermion Fock space and boson-fermion Fock space). It includes the mathematics of second quantization, representation theory of canonical commutation and anti-commutation relations, Bogoliubov transformations, infinite-dimensional Dirac operators and supersymmetric quantum field in an abstract form. The second half of the book, Part II, covers applications of the mathematical theories in Part I to quantum field theory. Four kinds of free quantum fields are constructed and detailed analyses are made. A simple interacting quantum field model, called the van Hove-Miyatake model, is fully analyzed in an abstract form. Moreover, a list of interacting quantum field models is presented and an introductory description to each model is given. In this second edition, a new chapter (Chapter 15) is added to describe a mathematical theory of spontaneous symmetry breaking which is an important subject in modern quantum physics.This book is a good introductory text for graduate students in mathematics or physics who are interested in the mathematical aspects of quantum field theory. It is also well-suited for self-study, providing readers a firm foundation of knowledge and mathematical techniques for more advanced books and current research articles in the field of mathematical analysis on quantum fields. Numerous problems are added to aid readers in developing a deeper understanding of the field.
£247.50
World Scientific Publishing Company Classical Mechanics And Electrodynamics
Book Synopsis
£121.50
Springer Verlag, Singapore Vibration Analysis of Functionally Graded
Book SynopsisThis book presents a detailed study on the vibration analysis of functionally graded piezoelectric actuators excited under the shear effect. Two types of actuator geometries viz. beam and annular plate are considered, where the material properties are assumed to have a continuous variation in accordance with a power law distribution. The generalized differential quadrature method is used to obtain the solutions, and is compared to exact analytical results. The methodology reported and the numerical results presented will be useful for the design of devices utilizing functionally graded piezoelectric actuators under the influence of shear. Table of Contents1. Overview.- 2. Fundamentals of Piezoceramics.- 3. Basics of FGM and FGPM.- 4. Fundamentals of DQ Method.- 5. Vibration Analysis of FGPM Beam.- 6. Vibration Analysis of FGPM annular plate.- 7. Summary and Conclusions.
£47.49
Springer Verlag, Singapore Using Mathematica for Quantum Mechanics: A Student’s Manual
Book SynopsisThis book revisits many of the problems encountered in introductory quantum mechanics, focusing on computer implementations for finding and visualizing analytical and numerical solutions. It subsequently uses these implementations as building blocks to solve more complex problems, such as coherent laser-driven dynamics in the Rubidium hyperfine structure or the Rashba interaction of an electron moving in 2D. The simulations are highlighted using the programming language Mathematica. No prior knowledge of Mathematica is needed; alternatives, such as Matlab, Python, or Maple, can also be used.Table of Contents1 Wolfram language overview 1.1 introduction1.1.1 exercises1.2 variables and assignments1.2.1 immediate and delayed assignments1.2.2 exercises1.3 four kinds of bracketing1.4 prefix and postfix1.4.1 exercises1.5 programming constructs1.5.1 procedural programming1.5.2 exercises1.5.3 functional programming1.5.4 exercises1.6 function definitions1.6.1 immediate function definitions1.6.2 delayed function definitions1.6.3 functions that remember their results1.6.4 functions with conditions on their arguments1.6.5 functions with optional arguments1.7 rules and replacements1.7.1 immediate and delayed rules1.7.2 repeated rule replacement1.8 many ways to define the factorial function1.8.1 exercises1.9 vectors, matrices, tensors1.9.1 vectors1.9.2 matrices1.9.3 sparse vectors and matrices1.9.4 matrix diagonalization1.9.5 tensor operations1.9.6 exercises1.10 complex numbers1.11 units2 quantum mechanics 2.1 basis sets and representations 2.1.1 incomplete basis sets 2.1.2 exercises 2.2 time-independent Schrödinger equation 2.2.1 diagonalization 2.2.2 exercises 2.3 time-dependent Schrödinger equation 2.3.1 time-independent basis 2.3.2 time-dependent basis: interaction picture 2.3.3 special case: I ˆ(t), ˆ(tt)l = 0 ∀(t, tt) H H2.3.4 special case: time-independent Hamiltonian 2.3.5 exercises 2.4 basis construction 2.4.1 description of a single degree of freedom 2.4.2 description of coupled degrees of freedom 2.4.3 reduced density matrices 2.4.4 exercises 3 spin systems 3.1 quantum-mechanical spin and angular momentum operators 3.1.1 exercises 3.2 spin-1/2 electron in a dc magnetic field 3.2.1 time-independent Schrödinger equation 3.2.2 exercises 3.3 coupled spin systems: 87Rb hyperfine structure 3.3.1 eigenstate analysis 3.3.2 “magic” magnetic field 3.3.3 coupling to an oscillating magnetic field 3.3.4 exercises 3.4 coupled spin systems: Ising model in a transverse field 3.4.1 basis set 3.4.2 asymptotic ground states 3.4.3 Hamiltonian diagonalization 3.4.4 analysis of the ground state 3.4.5 exercises 4 real-space systems 4.1 one particle in one dimension 4.1.1 computational basis functions 4.1.2 example: square well with bottom step 4.1.3 the Wigner quasi-probability distribution 4.1.4 1D dynamics in the square well 4.1.5 1D dynamics in a time-dependent potential 4.2 non-linear Schrödinger equation 4.2.1 ground state of the non-linear Schrödinger equation 4.3 several particles in one dimension: interactions 4.3.1 two identical particles in one dimension with contact interaction 4.3.2 two particles in one dimension with arbitrary interaction 4.4 one particle in several dimensions 4.4.1 exercises 5 combining space and spin 5.1 one particle in 1D with spin 5.1.1 separable Hamiltonian 5.1.2 non-separable Hamiltonian 5.1.3 exercises5.2 one particle in 2D with spin: Rashba coupling5.2.1 exercises 5.3 phase-space dynamics in the Jaynes–Cummings model exercises
£52.24
Springer Verlag, Singapore A Statistical Mechanical Interpretation of Algorithmic Information Theory
Book SynopsisThis book is the first one that provides a solid bridge between algorithmic information theory and statistical mechanics. Algorithmic information theory (AIT) is a theory of program size and recently is also known as algorithmic randomness. AIT provides a framework for characterizing the notion of randomness for an individual object and for studying it closely and comprehensively. In this book, a statistical mechanical interpretation of AIT is introduced while explaining the basic notions and results of AIT to the reader who has an acquaintance with an elementary theory of computation.A simplification of the setting of AIT is the noiseless source coding in information theory. First, in the book, a statistical mechanical interpretation of the noiseless source coding scheme is introduced. It can be seen that the notions in statistical mechanics such as entropy, temperature, and thermal equilibrium are translated into the context of noiseless source coding in a natural manner. Then, the framework of AIT is introduced. On this basis, the introduction of a statistical mechanical interpretation of AIT is begun. Namely, the notion of thermodynamic quantities, such as free energy, energy, and entropy, is introduced into AIT. In the interpretation, the temperature is shown to be equal to the partial randomness of the values of all these thermodynamic quantities, where the notion of partial randomness is a stronger representation of the compression rate measured by means of program-size complexity. Additionally, it is demonstrated that this situation holds for the temperature itself as a thermodynamic quantity. That is, for each of all the thermodynamic quantities above, the computability of its value at temperature T gives a sufficient condition for T to be a fixed point on partial randomness.In this groundbreaking book, the current status of the interpretation from both mathematical and physical points of view is reported. For example, a total statistical mechanical interpretation of AIT that actualizes a perfect correspondence to normal statistical mechanics can be developed by identifying a microcanonical ensemble in the framework of AIT. As a result, the statistical mechanical meaning of the thermodynamic quantities of AIT is clarified. In the book, the close relationship of the interpretation to Landauer's principle is pointed out.Table of ContentsStatistical Mechanical Interpretation of Noiseless Source Coding.- Algorithmic Information Theory.- Partial Randomness.- Temperature Equals to Partial Randomness.- Fixed Point Theorems on Partial Randomness.- Statistical Mechanical Meaning of the Thermodynamic Quantities of AIT.- The Partial Randomness of Recursively Enumerable Reals.- Computation-Theoretic Clarification of the Phase Transition at Temperature T=1.- Other Related Results and Future Development.
£49.49
Springer Verlag, Singapore Entropy, Divergence, and Majorization in
Book SynopsisRich information-theoretic structure in out-of-equilibrium thermodynamics exists in both the classical and quantum regimes, leading to the fruitful interplay among statistical physics, quantum information theory, and mathematical theories such as matrix analysis and asymptotic probability theory. The main purpose of this book is to clarify how information theory works behind thermodynamics and to shed modern light on it.The book focuses on both purely information-theoretic concepts and their physical implications. From the mathematical point of view, rigorous proofs of fundamental properties of entropies, divergences, and majorization are presented in a self-contained manner. From the physics perspective, modern formulations of thermodynamics are discussed, with a focus on stochastic thermodynamics and resource theory of thermodynamics. In particular, resource theory is a recently developed field as a branch of quantum information theory to quantify “useful resources” and has an intrinsic connection to various fundamental ideas of mathematics and information theory. This book serves as a concise introduction to important ingredients of the information-theoretic formulation of thermodynamics. Trade Review“The book has three appendices on quantum divergences and their monotonicity, hypothesis testing and asymptotic equipartition properties. A large number of references are cited at the end of the book. The book presents wealth of theoretical information on quantum information theory. … The book may be used as a reference for the researchers in quantum information theory.” (K. N. Shukla, zbMATH 1505.80001, 2023)Table of Contents1Introduction.- 2Classical entropy and divergence.- 3Classical majorization.- 4Classical thermodynamics.- 5Quantum entropy and divergence.- 6Quantum majorization.- 7Approximate and asymptotic majorization and divergence.- 8Quantum thermodynamics.- AGeneral quantum divergences and their monotonicity.- BHypothesis testing.- CClassical asymptotic equipartition properties.- References.
£47.49
Springer Verlag, Singapore Differential Equations and Applications: ICABS
Book SynopsisThis book collects select papers presented at the International Conference on Applications of Basic Sciences, held at Tiruchirappalli, Tamil Nadu, India, from 19-21 November 2019. The book discusses topics on singular perturbation problems, differential equations, numerical analysis, fuzzy logics, fuzzy differential equations, and mathematical physics, and their interdisciplinary applications in all areas of basic sciences: mathematics, physics, chemistry, and biology. It will be useful to researchers and scientists in all disciplines of basic sciences. This book will be very useful to know the different scientific approaches for a single physical system.Table of Contents1. Virtual Element Method for Singularly Perturbed Reaction-Diffusion Problems on Polygonal Domains: J.L. Gracia and D. Irisarri.- 2. Global Uniform Convergence for Weakly Coupled System of Singularly Perturbed Convection Diffusion Problems: S. Chandra Sekhara Rao, Varsha Srivastava, and Abhay Kumar Chaturvedi.- 3. A Parameter Uniform Fitted Mesh Method for a Weakly Coupled System of Three Partially Singularly Perturbed Convection-Diffusion Equations: Valarmathi Sigamani, Saravana Sankar Kalaiselvan, John J H Miller.- 4. Numerical Method for a Boundary Value Problem for a Linear System of Partially Singularly Perturbed Parabolic Delay Differential Equations of Reaction-Diffusion Type: Parthiban Saminathan and Franklin Victor.- 5. A First-Order Convergent Parameter Uniform Numerical Method for a Singularly Perturbed Second-Order Delay-Differential Equation of Reaction-Diffusion Type with a Discontinuous Source Term: Manikandan Mariappan, John J H Miller, Valarmathi Sigamani.- 6. Fitted Numerical Method with Linear Interpolation for Third-Order Singularly Perturbed Delay Problems: R. Mahendran and V. Subburayan.- 7. A Parameter Uniform Essentially First-Order Convergence of a Fitted Mesh Method for a Class of Parabolic Singularly Perturbed Robin Problem for a System of Reaction-Diffusion Equations: R. Ishwariya, Valarmathi Sigamani, John J H Miller.- 8. Finite Difference Method and Analysis for First-Order Hyperbolic Delay Differential Equations: S. Karthick and V. Subburayan.- 9. Fitted Mesh Methods for a Class of Weakly Coupled System of Singularly Perturbed Convection-Diffusion Equations: Saravana Sankar Kalaiselvan, Valarmathi Sigamani, John J H Miller.- 10. Numerical Analysis of a Finite Difference Method for a Linear System of Singularly Perturbed Parabolic Delay Differential Reaction-Diffusion Equations with Discontinuous Source Terms: Parthiban Saminathan and Franklin Victor.
£116.99
Springer Verlag, Singapore Recent Progress on the Donaldson–Thomas Theory: Wall-Crossing and Refined Invariants
Book SynopsisThis book is an exposition of recent progress on the Donaldson–Thomas (DT) theory. The DT invariant was introduced by R. Thomas in 1998 as a virtual counting of stable coherent sheaves on Calabi–Yau 3-folds. Later, it turned out that the DT invariants have many interesting properties and appear in several contexts such as the Gromov–Witten/Donaldson–Thomas conjecture on curve-counting theories, wall-crossing in derived categories with respect to Bridgeland stability conditions, BPS state counting in string theory, and others. Recently, a deeper structure of the moduli spaces of coherent sheaves on Calabi–Yau 3-folds was found through derived algebraic geometry. These moduli spaces admit shifted symplectic structures and the associated d-critical structures, which lead to refined versions of DT invariants such as cohomological DT invariants. The idea of cohomological DT invariants led to a mathematical definition of the Gopakumar–Vafa invariant, which was first proposed by Gopakumar–Vafa in 1998, but its precise mathematical definition has not been available until recently.This book surveys the recent progress on DT invariants and related topics, with a focus on applications to curve-counting theories.Trade Review“The book is directed at readers with a solid foundation in algebraic geometry. … the main definitions and theorems are nicely illustrated by examples. … The book will serve as a guide to further reading for those wishing to learn more details about the theory.” (Matthew B. Young, Mathematical Reviews, March, 2023)Table of Contents1Donaldson–Thomas invariants on Calabi–Yau 3-folds.- 2Generalized Donaldson–Thomas invariants.- 3Donaldson–Thomas invariants for quivers with super-potentials.- 4Donaldson–Thomas invariants for Bridgeland semistable objects.- 5Wall-crossing formulas of Donaldson–Thomas invariants.- 6Cohomological Donaldson–Thomas invariants.- 7Gopakumar–Vafa invariants.- 8Some future directions.
£49.49
Springer Verlag, Singapore Fractional Derivative Modeling in Mechanics and
Book SynopsisThis textbook highlights the theory of fractional calculus and its wide applications in mechanics and engineering. It describes in details the research findings in using fractional calculus methods for modeling and numerical simulation of complex mechanical behavior. It covers the mathematical basis of fractional calculus, the relationship between fractal and fractional calculus, unconventional statistics and anomalous diffusion, typical applications of fractional calculus, and the numerical solution of the fractional differential equation. It also includes latest findings, such as variable order derivative, distributed order derivative and its applications. Different from other textbooks in this subject, the book avoids lengthy mathematical demonstrations, and presents the theories in close connection to the applications in an easily readable manner. This textbook is intended for students, researchers and professionals in applied physics, engineering mechanics, and applied mathematics. It is also of high reference value for those in environmental mechanics, geotechnical mechanics, biomechanics, and rheology.Table of ContentsPreface Chapter 1 Introduction 1.1 History of fractional calculus 1.2 Geometric and physical interpretation of fractional derivative equation 1.3 Application in science and engineering Chapter 2 Mathematical foundation of fractional calculus 2.1 Definition of fractional calculus 2.2 Properties of fractional calculus 2.3 Fourier and Laplace transform of the fractional calculus 2.4 Analytical solution of fractional-order equations 2.5 Questions and discussions Chapter 3 Fractal and fractional calculus 3.1 Fractal introduction and application 3.2 The relationship between fractional calculus and fractal Chapter 4 Fractional diffusion model 4.1 The fractional derivative anomalous diffusion equation 4.2 Statistical model of the acceleration distribution of turbulence particle 4.3 Lévy stable distributions 4.4 Stretched Gaussian distribution 4.5 Tsallis distribution 4.6 Ito formula 4.7 Random walk model Chapter 5 Typical applications of fractional differential equations 5.1 Power-law phenomena and non-gradient constitutive relation 5.2 Fractional Langevin equation 5.3 The complex damped vibration 5.4 Viscoelastic and rheological models 5.5 The power law frequency dependent acoustic dissipation 5.6 The fractional variational principle of mechanics 5.7 Fractional Schrödinger equation 5.8 Other application fields 5.9 Some applications of fractional calculus in biomechanics 5.10 Some applications of fractional calculus in the modeling of drug release process Chapter 6 Numerical methods for fractional differential equations 6.1 Time fractional differential equations 6.2 Space fractional differential equations 6.3 Open issues of numerical methods for FDEs Chapter 7 Current development and perspectives of fractional calculus 7.1 Summary and Discussion 7.2 Perspectives Appendix I Special Functions Appendix II Related electronic resources of fractional dynamics
£49.49
Springer Verlag, Singapore The Special Theory of Relativity: A Mathematical Approach
Book SynopsisThis textbook expounds the major topics in the special theory of relativity. It provides a detailed examination of the mathematical foundation of the special theory of relativity, relativistic mass, relativistic mechanics, and relativistic electrodynamics. As well as covariant formulation of relativistic mechanics and electrodynamics, the text discusses the relativistic effect on photons. A new chapter on electromagnetic waves as well as several new problems and examples have been included in the second edition of the book. Using the mathematical approach, the text offers graduate students a clear, concise view of the special theory of relativity. Organized into 15 chapters and two appendices, the content is presented in a logical order, and every topic has been dealt with in a simple and lucid manner. To aid understanding of the subject, the text provides numerous relevant worked-out examples in every chapter. The mathematical approach of the text helps students in their independent study and motivates them to research the topic further.Table of ContentsPre-Relativity and Galilean Transformations.- Michelson-Morley Experiment and Velocity of Light.- Lorentz Transformations.- Mathematical Properties of Lorentz Transformations.- More mathematical Properties of Lorentz Transformations.- Geometrical Interpretation of spacetime.- Relativistic Velocity and Acceleration.- Four Dimensional World.- Mass in Relativity.- Relativistic Dynamics.- Photon in Relativity.- Relativistic Lagrangian and Hamiltonian.- Electrodynamics in Relativity.- Electromagnetic waves.- Relativistic Mechanics of Continua.
£49.49
Springer Verlag, Singapore Optical Waveguide Theory: Mathematical Models,
Book SynopsisThis book addresses the most advanced to-date mathematical approach and numerical methods in electromagnetic field theory and wave propagation. It presents the application of developed methods and techniques to the analysis of waves in various guiding structures —shielded and open metal-dielectric waveguides of arbitrary cross-section, planar and circular waveguides filled with inhomogeneous dielectrics, metamaterials, chiral media, anisotropic media and layered media with absorption. It also looks into spectral properties of wave propagation for the waveguide families being considered, and the relevant mathematical techniques such as spectral theory of non-self-adjoint operator-valued functions are described, including rigorous proofs of the existence of various types of waves. Further, numerical methods constructed on the basis of the presented mathematical approach and the results of numerical modeling for various structures are also described in depth. The book is beneficial to a broad spectrum of readers ranging from pure and applied mathematicians in electromagnetic field theory to researchers and engineers who are familiar with mathematics. Further, it is also useful as a supplementary text for upper-level undergraduate students interested in learning more advanced topics of mathematical methods in electromagnetics.Table of ContentsChapter 1.IntroductionThe purpose of this chapter is to provide a survey of our book by placing what we have to say in a historical context. Chapter 2. Some concepts and definitions of the set theory, function theory, and operator theoryThe purpose of this chapter is to present an overview of the mathematical apparatus used in this book, to give theorems and proofs used in the subsequent book chapters. The presentation focuses in particular on the necessary elements of the spectral theory of nonselfadjoint operator-valued functions. Chapter 3. Shielded regular waveguides of arbitrary cross-sectionThis chapter is devoted to the analysis of the wave propagation in shielded waveguides of arbitrary cross-section filled with inhomogeneous dielectrics, metamaterials, chiral media, anisotropic media, and media with absorption. Spectral properties of the problems of wave propagation for the considered waveguide family are investigated. Definitions of various types of waves are formulated, the existence and distribution of the wave spectra are studied. Chapter 4. Planar waveguidesThis chapter addresses waves in plane waveguides filled with inhomogeneous dielectrics, metamaterials, chiral media, anisotropic media, and media with absorption. Spectral properties of the problems of wave propagation for this family of waveguides are investigated in detail. Chapter 5. Waveguides of circular cross-sectionThis chapter is devoted to the analysis of wave propagation in circular waveguides filled with inhomogeneous dielectrics, metamaterials, chiral media, anisotropic media, and media with absorption. The notions, results and methods developed in Chapter 3 are applied and concretized for this family of waveguides. The existence of real and complex normal waves and analysis of the distribution of the wave spectra are backed by a variety of numerical results. Chapter 6. Open regular waveguides of arbitrary cross-sectionIn this chapter, open waveguides of arbitrary cross-section are considered; the material filling consists of inhomogeneous dielectrics, metamaterials, chiral and anisotropic media, and media with absorption. The problems on normal waves are formulated with the conditions at infinity that enable one to take into account all types of waves, including complex and leaky. Spectral properties of the problems of wave propagation in open waveguides are investigated using the specially developed extensions of the spectral theory and particularly the operator-pencil approach. Chapter 7. Conclusion
£107.99
Springer Verlag, Singapore Physical Kinetics: Classical and Quantum Problems
Book SynopsisThis book includes problems based on the material in the course of physical kinetics for the students of general and applied physics. It contains 60 problems with detailed solutions. The comments to the problems reflect the connection with the problems and methods of modern physical kinetics. A brief introduction gives the necessary information for solving and understanding the problems. The book is proposed for students and postgraduates studying the theoretical physics. The book is used as a supplement to the textbooks published on physical kinetics. The purpose of the book is to help students in training the practical skills and mastering the basic elements of physical kinetics. To understand the subject matter, it is sufficient to know the traditional courses of theoretical physics.Table of Contents1. Brief reminders 1.1. The Boltzmann transport equation 1.2. The generalized susceptibility and the linear response 1.3. The fluctuation-dissipation theorem 1.4. The Onsager reciprocal relations 1.5. The Lindblad master equation 2. Problems 2.1. The Langevin equation and the fluctuation-dissipation theorem 2.2. The Boltzmann transport equation in the τ-approximation: the thermoelectric effects in conductors 2.3. Galvanomagnetic effects in metals 2.4. Kinetic phenomena in a metal and normal Fermi liquid 2.5. Electron-phonon scattering in a metal: the transport coefficients 2.6. The electron scattering with magnetic impurities: the Kondo effect 2.7. Weak localization effects in a metal with impurities 2.8. Ballistic electron transport in the mesoscopic systems 2.9. The rarified Bose and Fermi gases 2.10. The hopping Mott conductivity and the Coulomb gap 2.11. Kinetics of phonons and thermal conductivity in dielectrics 2.12. The hydrodynamics of normal and superfluid liquids: sound oscillations and energy dissipation 2.13. Kapitza resistance and kinetic phenomena at the superfluidsolid helium interface 2.14. Collisionless plasma: the permittivity and the longitudinal and transverse oscillations 2.15. Kinetics of first-order phase transitions: melting and solidification 2.16. Macroscopic quantum tunneling 2.17. Macroscopic quantum nucleation 2.18. Open quantum systems: the Lindblad equation 2.19. Elements of diagrammatic Keldysh technique for non-equilibrium systems 3. Solutions of Problems 3.1. The Langevin equation and the fluctuation-dissipation theorem 3.2. The Boltzmann transport equation in the _-approximation: the thermoelectric effects in conductors 3.3. Galvanomagnetic effects in metals 3.4. Kinetic phenomena in a metal and normal Fermi liquid 3.5. Electron-phonon scattering in a metal: the transport coefficients 3.6. The electron scattering with magnetic impurities: the Kondo effect 3.7. Weak localization effects in a metal with impurities 3.8. Ballistic electron transport in the mesoscopic systems 3.9. The rarified Bose and Fermi gases 3.10. The hopping Mott conductivity and the Coulomb gap 3.11. Kinetics of phonons and thermal conductivity in dielectrics 3.12. The hydrodynamics of normal and superfluid liquids: sound oscillations and energy dissipation 3.13. Kapitza resistance and kinetic phenomena at the superfluidsolid helium interface 3.14. Collisionless plasma: permittivity and the longitudinal and transverse oscillations 3.15. Kinetics of first-order phase transitions: melting and solidification 3.16. Macroscopic quantum tunneling 3.17. Macroscopic quantum nucleation 3.18. Open quantum systems: the Lindblad equation 3.19. Elements of diagrammatic Keldysh technique for non-equilibrium systems Bibliography Index
£66.49
Springer Verlag, Singapore Non-Bloch Band Theory of Non-Hermitian Systems
Book SynopsisThis book constructs a non-Bloch band theory and studies physics described by non-Hermitian Hamiltonian in terms of the theory proposed here.In non-Hermitian crystals, the author introduces the non-Bloch band theory which produces an energy spectrum in the limit of a large system size. The energy spectrum is then calculated from a generalized Brillouin zone for a complex Bloch wave number. While a generalized Brillouin zone becomes a unit circle on a complex plane in Hermitian systems, it becomes a circle with cusps in non-Hermitian systems. Such unique features of the generalized Brillouin zone realize remarkable phenomena peculiar in non-Hermitian systems. Further the author reveals rich aspects of non-Hermitian physics in terms of the non-Bloch band theory. First, a topological invariant defined by a generalized Brillouin zone implies the appearance of topological edge states. Second, a topological semimetal phase with exceptional points appears, The topological semimetal phase is unique to non-Hermitian systems because it is caused by the deformation of the generalized Brillouin zone by changes of system parameters. Third, the author reveals a certain relationship between the non-Bloch waves and non-Hermitian topology.Table of ContentsIntroduction.- Hermitian Systems and Non-Hermitian Systems.- Non-Hermitian Open Chain and Periodic Chain.- Non-Bloch Band Theory of Non-Hermitian Systems and Bulk-Edge Correspondence.- Topological Semimetal Phase With Exceptional Points in One-Dimensional Non-Hermitian Systems.- Non-Bloch Band Theory in Bosonic Bogoliubov-de Gennes Systems.- Summary and Outlook.
£116.99
Springer Verlag, Singapore Lie Theory and Its Applications in Physics:
Book SynopsisThis volume presents modern trends in the area of symmetries and their applications based on contributions to the Workshop "Lie Theory and Its Applications in Physics" held in Sofia, Bulgaria (on-line) in June 2021.Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e., representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators, special functions, and others. Furthermore, the necessary tools from functional analysis are included. This is a big interdisciplinary and interrelated field.The topics covered in this Volume are the most modern trends in the field of the Workshop: Representation Theory, Symmetries in String Theories, Symmetries in Gravity Theories, Supergravity, Conformal Field Theory, Integrable Systems, Quantum Computing and Deep Learning, Entanglement, Applications to Quantum Theory, Exceptional quantum algebra for the standard model of particle physics, Gauge Theories and Applications, Structures on Lie Groups and Lie Algebras.This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.Table of ContentsPlenary Talks: T. Kobayashi, Multiplicity in Restricting Minimal Representations.- Yang-Hui He, From the String Landscape to the Mathematical Landscape: a Machine-Learning Outlook.- I. Todorov, Octonionic Clifford Algebra for the Internal Space of the Standard Model.- P. Vitale, The Jacobi Sigma Model.- P. Aschieri, Levi-Civita Connections on Braided Algebras.- N. Bobev, Notes on AdS4 Holography and Higher-Derivative Supergravity.- T. Brzezinski, Homothetic Rota-Baxter Systems and Dyckm-Algebras.- M. Henkel, Quantum Dynamics Far from Equilibrium: a Case Study in the Spherical Model.- Hankyung Ko and V. Mazorchuk, On First Extensions in S -Subcategories of O.- Robert de Mello Koch and Sanjaye Ramgoolam, Higher Dimensional CFTs as 2D Conformally-Equivariant Topological Field Theories.- G. Manolakos, G. Patellis and G. Zoupanos, Reducing the N = 1, 10D E8 Gauge Theory over a Modified Flag Manifold.- String Theories, (Super-)Gravity, Cosmology: Andre Alves Lima, Galen M. Sotkov and Marian Stanishkov, Ramond States of the D1-D5 CFT Away from the Free Orbifold Point.- L. Anguelova, Primordial Black Hole Generation in a Two-field Inflationary Model.- D. Staicova, Late Time Cosmic Acceleration with Uncorrelated Baryon Acoustic Oscillations.- L. Ravera, On the Hidden Symmetries of D = 11 Supergravity.- F. Nieri, Defects at the Intersection: the Supergroup Side.- T. Masuda, A New S-matrix Formula and Extension of the State Space in Open String Field Theory.- E. Boffo, Dual Dilaton with R and Q Fluxes.- Representation Theory: E. Poletaeva, On 1-Dimensional Modules over the Super-Yangian of the Superalgebra Q(1).- N. I. Stoilova and Joris Van der Jeugt, A Klein Operator for Paraparticles.- G. Sengor and C. Skordis, Principal and Complementary Series Representations at the Late-Time Boundary of de Sitter.- S. Aoki, Janos Balog, T. Onogi, and S. Yokoyama, Bulk Reconstruction from a Scalar CFT at the Boundary by the Smearing with the Flow Equation.- Y. Wang and Chih-Hao Fu, Building Momentum Kernel from Shapovalov Form.- Ilia Smilga, Action of w0 on VL for Orthogonal and Exceptional Groups.- Ood Shabtai, Pairs of Spectral Projections of Spin Operators.- Integrable Systems: Jean-Emile Bourgine, Algebraic Engineering and Integrable Hierarchies.- Cestm ˇ ´ır Burd´ık and O. Navratil, Nested Bethe Ansatz for RTT–Algebra An.- O. Vaneeva, O. Magda and A. Zhalij, Lie Reductions and Exact Solutions of Generalized Kawahara Equations.- Y. Nasuda, Several Exactly Solvable Quantum Mechanical Systems and the SWKB Quantization Condition.- A. Pribytok, Automorphic Symmetries and AdSn Integrable Deformations.- Applications to Quantum Theory: M. Kirchbach, T. Popov, and J.-A. Vallejo, The Conformal-Symmetry–Color-Neutrality Connection in Strong Interaction.- I. Salom and N. Manojlovic, sℓ(2) Gaudin Model with General Boundary Terms.- T. Barron and A. Kazachek, Entanglement of Mixed States in Kahler Quantization.- J. Alnefjord, A. Lifson, C. Reuschle, and M. Sjodahl, The Chirality-Flow Formalism for Standard Model Calculations.- F. Kuipers, Spacetime Stochasticity and Second Order Geometry.- Special Mathematical Results: P. Moylan, Velocity Reciprocity in Flat and Curved Space-Time.- S. Stoimenov and M. Henkel, Meta-Schrodinger Transformations.- Hulya Arg ¨ uz¨, The Quantum Mirror to the Quartic del Pezzo Surface.- A. Ganchev, Bidirectional Processes - in Category Theory, Physics, Engineering.- Gauge Theories and Applications: Richard S. Garavuso, Nonholomorphic Superpotentials in Heterotic Landau-Ginzburg Models.- F. Feruglio, Automorphic Forms and Fermion Masses.- T. Ishibashi, Wilson Lines and Their Laurent Positivity.- Maro Cvitan, Predrag Dominis Prester, Stefano Gregorio Giaccari, Mateo Paulisiˇ c´, and Ivan Vukovic´, Gauging Higher-Spin-Like Symmetries Using the Moyal Product.- N. Ikeda and S. Sasaki, Integration of Double Field Theory Algebroids and Pre-rackoid in Doubled Geometry.- H. Mori, S. Sasaki, K. Shiozawa, Doubled Aspects of Algebroids and Gauge Symmetry in Double Field Theory.- C. Anghel and D. Cheptea, Lie Algebroids and Weight Systems.- Structures on Lie Groups and Lie Algebras: K. Arashi, Visible Actions of Certain Affine Transformation Groups of a Siegel Domain of the Second Kind.- A. Brus, Jiˇr´ı Hrivnak´ and L. Motlochova´, Quantum Particle on Lattices in Weyl Alcoves.- A. Latorre and L. Ugarte, Abelian J-Invariant Ideals on Nilpotent Lie Algebras.- Alexis Langlois-Remillard, The Dihedral Dunkl–Dirac Symmetry Algebra with Negative Clifford Signature.- Tekin Karadag˘, Lie Structure on Hopf Algebra Cohomology.- Esther Garcıa, Miguel Gomez Lozano, and Ruben Munoz Alcazar, Filtration Associated to an Abelian Inner Ideal and the Speciality of the Subquotient of a Lie Algebra.- Esther Garc´ıa, Miguel Gomez Lozano, and Guillermo Vera de Salas, Nilpotent Inner Derivations in Prime Superalgebras.
£189.99
Springer Verlag, Singapore Nonlinear Waves: From Dissipative Solitons to
Book SynopsisThis book highlights the methods to engineer dissipative and magnetic nonlinear waves propagating in nonlinear systems. In the first part of the book, the authors present methodologically mathematical models of nonlinear waves propagating in one- and two-dimensional nonlinear transmission networks without/with dissipative elements. Based on these models, the authors investigate the generation and the transmission of nonlinear modulated waves, in general, and solitary waves, in particular, in networks under consideration. In the second part of the book, the authors develop basic theoretical results for the dynamics matter-wave and magnetic-wave solitons of nonlinear systems and of Bose–Einstein condensates trapped in external potentials, combined with the time-modulated nonlinearity. The models treated here are based on one-, two-, and three-component non-autonomous Gross–Pitaevskii equations. Based on the Heisenberg model of spin–spin interactions, the authors also investigate the dynamics of magnetization in ferromagnet with or without spin-transfer torque. This research book is suitable for physicists, mathematicians, engineers, and graduate students in physics, mathematics, and network and information engineering.Table of Contents
£123.49
Springer Verlag, Singapore Synergies in Analysis, Discrete Mathematics, Soft
Book SynopsisThis book contains select papers on mathematical analysis and modeling, discrete mathematics, fuzzy sets, and soft computing. All the papers were presented at the international conference on FIM28-SCMSPS20 virtually held at Sri Sivasubramaniya Nadar (SSN) College of Engineering, Chennai, India, and Stella Maris College (Autonomous), Chennai, from November 23–27, 2020. The conference was jointly held with the support of the Forum for Interdisciplinary Mathematics. Both the invited articles and submitted papers were broadly grouped under three heads: Part 1 on analysis and modeling (six chapters), Part 2 on discrete mathematics and applications (six chapters), and Part 3 on fuzzy sets and soft computing (three chapters).Table of ContentsPART I ANALYSIS AND MODELLINGThe Second- and Third-order Hermitian Toeplitz Determinants for Some Subclasses of Analytic Functions Associated with Exponential Function,P.Gurusamy, R. Jayasankar and S. SivasubramanianSome Results on a Starlike Class with Respect to $(j, m) $-symmetric FunctionsK. Renuka Devi, S. Sivasubramanian, Hamid Shamsan and S. LathaExperimental Evaluation of Four Intermediate Filters to Improve the Motion Field EstimationVanel Lazcano and Claudio Isa-MohorOn the $s^{th}$ Derivative of a PolynomialBarchand Chanam and Kshetrimayum KrishnadasOn the Problem of Pricing a Double Barrier Option in a Modified Black–Scholes Environment G. Venkiteswaran and S. UdayabaskaranCaputo Sequential Fractional Differential Equations with ApplicationsAghalaya S. Vatsala and Govinda PageniPART II DISCRETE MATHEMATICS AND APPLICATIONSHerscovici’s Conjecture on Product of Some Complete Bipartite GraphsA. Lourdusamy and S. Saratha NellainayakiOn Fault-Tolerant Metric Dimension of Heptagonal Circular Ladder and Its Related GraphsSunny Kumar Sharma and Vijay Kumar BhatBKS Fuzzy Inference Employing h-ImplicationsSayantan Mandal and Balasubramaniam Jayaram Note on Distributivity of Different String Operations over Language SetsUjjwal Kumar Mishra, Kalpana Mahalingam and Rama RaghavanA Generalization of Chi-binding FunctionsM. A. Shalu and T. P. SandhyaA Short Proof of Ore’s f-factor Theorem using FlowsSriraman Sridharan and Patrick VilamajoPART III FUZZY SETS AND SOFT COMPUTINGA Decision-making Problem Involving Soft Fuzzy Number Valued Information System: Energy Efficient Light Emitting Diode BlubsFelbin C. Kennedy, Masilla Moses Kennedy, Arul Roselet Meryline S. andJayachandiran M.Role of Single-valued Linear Octagonal Neutrosophic Numbers in Multi-attribute Decision-making ProblemsSubasri S., Arul Roselet Meryline S. and Felbin C. Kennedy
£98.99
Springer Verlag, Singapore Einstein Constraints and Ricci Flow: A
Book SynopsisThis book contains a self-consistent treatment of a geometric averaging technique, induced by the Ricci flow, that allows comparing a given (generalized) Einstein initial data set with another distinct Einstein initial data set, both supported on a given closed n-dimensional manifold. This is a case study where two vibrant areas of research in geometric analysis, Ricci flow and Einstein constraints theory, interact in a quite remarkable way. The interaction is of great relevance for applications in relativistic cosmology, allowing a mathematically rigorous approach to the initial data set averaging problem, at least when data sets are given on a closed space-like hypersurface. The book does not assume an a priori knowledge of Ricci flow theory, and considerable space is left for introducing the necessary techniques. These introductory parts gently evolve to a detailed discussion of the more advanced results concerning a Fourier-mode expansion and a sophisticated heat kernel representation of the Ricci flow, both of which are of independent interest in Ricci flow theory. This work is intended for advanced students in mathematical physics and researchers alike. Table of ContentsIntroduction.- Geometric preliminaries.- Ricci flow background.- Ricci flow conjugation of initial data sets.- Concluding remarks.
£94.99
World Scientific Publishing Co Pte Ltd Lectures On Statistical Physics And Protein
Book SynopsisThis book introduces an approach to protein folding from the point of view of kinetic theory. There is an abundance of data on protein folding, but few proposals are available on the mechanism driving the process. Here, presented for the first time, are suggestions on possible research directions, as developed by the author in collaboration with C C Lin.The first half of this invaluable book contains a concise but relatively complete review of relevant topics in statistical mechanics and kinetic theory. It includes standard topics such as thermodynamics, the Maxwell-Boltzmann distribution, and ensemble theory. Special discussions include the dynamics of phase transitions, and Brownian motion as an illustration of stochastic processes.The second half develops topics in molecular biology and protein structure, with a view to discovering mechanisms underlying protein folding. Attention is focused on the energy flow through the protein in its folded state. A mathematical model, based on the Brownian motion of coupled harmonic oscillators, is worked out in the appendix.Table of ContentsEntropy; Maxwell-Boltzmann Distribution; Free Energy; Chemical Potential; Phase Transitions; Kinetics of Phase Transitions; Order Parameter; Correlation Function; Stochastic Processes; Langevin Equation; The Life Process; Self-Assembly; Kinetics of Protein Folding; Power Laws in Protein Folding; Self-Avoiding Walk and Turbulence; Convergent Evolution in Protein Folding.
£45.60
World Scientific Publishing Co Pte Ltd Five-dimensional Physics: Classical And Quantum
Book SynopsisExtra dimensions — beyond space and time — are the best methods for unifying gravity with particle physics. The basic extension is to five dimensions (5D), as in the induced-matter and membrane theory. This descriptive text gives an up-to-date account of the classical and quantum consequences of 5D physics. It includes topics that range from Einstein's original theory of relativity to modern views on matter. The book is mathematically precise and focuses on new ideas which appeal to readers. Examples of new ideas are: The big-bang universe, which is curved by matter in 4D, may be viewed as a smooth and empty world in 5D; the uncertainty of quantum interactions in spacetime may be regarded as the consequence of deterministic laws in higher dimensions. This book will interest people who think about the 'meaning of things'.
£81.70
World Scientific Publishing Co Pte Ltd Lecture Notes In Applied Differential Equations
Book SynopsisFunctional analysis is a well-established powerful method in mathematical physics, especially those mathematical methods used in modern non-perturbative quantum field theory and statistical turbulence. This book presents a unique, modern treatment of solutions to fractional random differential equations in mathematical physics. It follows an analytic approach in applied functional analysis for functional integration in quantum physics and stochastic Langevin-turbulent partial differential equations.Table of ContentsElementary Aspects of Potential Theory in Mathematical Physics; Scattering Theory in Non-relativistic One-Body Short-Range Quantum Mechanics: Moller Wave Operators and Asymptotic Completeness; On the Hilbert Space Integration Method for the Wave Equation and Some Applications to Wave Physics; Non-linear Diffusion and Wave Damped Propagation: Weak Solutions and Statistical Turbulence Behavior; Domains of Bosonic Functional Integrals and Some Applications to the Mathematical Physics of Path Integrals and String Theory; Basic Integral Representations in Mathematical Analysis of Euclidean Functional Integrals; Non-linear Diffusion in RD and in Hilbert Spaces, a Path Integral Study; On the Ergodic Theorem; Some Comments on Sampling of Ergodic Process, an Ergodic Theorem and Turbulent Pressure Fluctuations.
£85.50
World Scientific Publishing Co Pte Ltd Mathematical Feynman Path Integrals And Their
Book SynopsisAlthough more than 60 years have passed since their first appearance, Feynman path integrals have yet to lose their fascination and luster. They are not only a formidable instrument of theoretical physics, but also a mathematical challenge; in fact, several mathematicians in the last 40 years have devoted their efforts to the rigorous mathematical definition of Feynman's ideas.This volume provides a detailed, self-contained description of the mathematical difficulties as well as the possible techniques used to solve these difficulties. In particular, it gives a complete overview of the mathematical realization of Feynman path integrals in terms of well-defined functional integrals, that is, the infinite dimensional oscillatory integrals. It contains the traditional results on the topic as well as the more recent developments obtained by the author.Mathematical Feynman Path Integrals and Their Applications is devoted to both mathematicians and physicists, graduate students and researchers who are interested in the problem of mathematical foundations of Feynman path integrals.Table of ContentsInfinite Dimensional Oscillatory Integrals; Feynman Path Integrals and The Schroedinger Equation; The Stationary Phase Method and the Semiclassical Limit of Quantum Mechanics; Quantum Open Systems; Alternative Approaches and Further Results.
£33.25
World Scientific Publishing Co Pte Ltd Path Integrals--new Trends And Perspectives -
Book SynopsisThis proceedings volume contains selected talks and poster presentations from the 9th International Conference on Path Integrals — New Trends and Perspectives, which took place at the Max Planck Institute for the Physics of Complex Systems in Dresden, Germany, during the period September 23-28, 2007. Continuing the well-developed tradition of the conference series, the present status of both the different techniques of path integral calculations and their diverse applications to many fields of physics and chemistry is reviewed. This is reflected in the main topics in this volume, which range from more traditional fields such as general quantum physics and quantum or statistical field theory through technical aspects like Monte Carlo simulations to more modern applications in the realm of quantum gravity and astrophysics, condensed matter physics with topical subjects such as Bose-Einstein condensation or quantum wires, biophysics and econophysics. All articles are successfully tied together by the common method of path integration; as a result, special methodological advancements in one topic could be transferred to other topics.Table of ContentsHistory and Perspectives; Quantum Physics; Quantum Field Theory; Quantum Gravity; Statistical Field Theory; Monte Carlo Techniques; Bose-Einstein Condensation; Condensed Matter; Spin Models; Biophysics and Stochastics.
£180.00
World Scientific Publishing Co Pte Ltd Advanced Classical Field Theory
Book SynopsisContemporary quantum field theory is mainly developed as quantization of classical fields. Therefore, classical field theory and its BRST extension is the necessary step towards quantum field theory. This book aims to provide a complete mathematical foundation of Lagrangian classical field theory and its BRST extension for the purpose of quantization. Based on the standard geometric formulation of theory of nonlinear differential operators, Lagrangian field theory is treated in a very general setting. Reducible degenerate Lagrangian theories of even and odd fields on an arbitrary smooth manifold are considered. The second Noether theorems generalized to these theories and formulated in the homology terms provide the strict mathematical formulation of BRST extended classical field theory. The most physically relevant field theories — gauge theory on principal bundles, gravitation theory on natural bundles, theory of spinor fields and topological field theory — are presented in a complete way.This book is designed for theoreticians and mathematical physicists specializing in field theory. The authors have tried throughout to provide the necessary mathematical background, thus making the exposition self-contained.Table of ContentsDifferential Calculus on Fiber Bundles; Lagrangian Theory on Fiber Bundles; Covariant Hamiltonian Field Theory; Grassmann-Graded Lagrangian Theory; Lagrangian BRST Theory; Gauge Theory on Principal Fiber Bundles; Gravitation Theory on Natural Bundles; Spinor Fields, Topological Field Theories.
£104.40
World Scientific Publishing Co Pte Ltd Fifty Years Of Mathematical Physics: Selected
Book SynopsisThis unique volume summarizes with a historical perspective several of the major scientific achievements of Ludwig Faddeev, with a foreword by Nobel Laureate C N Yang. The volume that spans over fifty years of Faddeev's career begins where he started his own scientific research, in the subject of scattering theory and the three-body problem. It then continues to describe Faddeev's contributions to automorphic functions, followed by an extensive account of his many fundamental contributions to quantum field theory including his original article on ghosts with Popov. Faddeev's contributions to soliton theory and integrable models are then described, followed by a survey of his work on quantum groups. The final scientific section is devoted to Faddeev's contemporary research including articles on his long-term interest in constructing knotted solitons and understanding confinement. The volume concludes with his personal view on science and mathematical physics in particular.
£66.50
World Scientific Publishing Co Pte Ltd Einstein's Apple: Homogeneous Einstein Fields
Book SynopsisWe lift a veil of obscurity from a branch of mathematical physics in a straightforward manner that can be understood by motivated and prepared undergraduate students as well as graduate students specializing in relativity. Our book on 'Einstein Fields' clarifies Einstein's very first principle of equivalence (1907) that is the basis of his theory of gravitation. This requires the exploration of homogeneous Riemannian manifolds, a program that was suggested by Elie Cartan in 'Riemannian Geometry in an Orthogonal Frame,' a 2001 World Scientific publication.Einstein's first principle of equivalence, the key to his General Relativity, interprets homogeneous fields of acceleration as gravitational fields. The general theory of these 'Einstein Fields' is given for the first time in our monograph and has never been treated in such exhaustive detail. This study has yielded significant new insights to Einstein's theory. The volume is heavily illustrated and is accessible to well-prepared undergraduate and graduate students as well as the professional physics community.
£38.00
World Scientific Publishing Co Pte Ltd Excursions In The Land Of Statistical Physics
Book SynopsisThis book is a compilation of selected reviews by Professor Michael E Fisher. Fisher's major contributions to physics have been in equilibrium statistical mechanics, and have spanned the entire range of that subject. He has been credited with bringing together, and teaching a common language to chemists and physicists working on diverse problems of phase transitions.About the Book by the AuthorTalking informally in a clear way came naturally once intrigued by a field of science; that helped me accept the invitation to publish a collection of review articles. And working actively in an area has led me to express what is new in basic terms, with lots of figures framed, typically, via two- or three-dimensional images. Also encouraging was that my reviews — with crucial references — were recognized in 1983 by the U.S. National Academy of Sciences through their James Murray Luck Award for 'excellence in scientific reviewing.'However, the first article in this collection is by my postdoctoral mentor, Cyril Domb, whose inaugural lecture at King's College London was entitled: 'Statistical Physics and its Problems.' This provides readers with a context for some of the topics later reviewed in greater depth. Among the aspects then explained, are the various critical exponents: α, β, γ, and δ — the special exponents η and ν for the correlation functions, and the scaling relations. Phase diagrams are examined thoroughly along with tricritical and bicritical points, Kosterlitz-Thouless points, protocriticality, etc. Random walks along with vicious walkers and their reunions are introduced. Biophysics is touched upon. The final article: 'Statistical Physics in the Oeuvre of Chen Ning Yang,' stems from the 2015 Conference on 60 Years of Yang-Mills Gauge Field Theories.In conclusion, it is hoped that a wide range of readers (and some experts also!) will enjoy dipping into the variety of reviews collected here.
£117.00
World Scientific Publishing Co Pte Ltd Excursions In The Land Of Statistical Physics
Book SynopsisThis book is a compilation of selected reviews by Professor Michael E Fisher. Fisher's major contributions to physics have been in equilibrium statistical mechanics, and have spanned the entire range of that subject. He has been credited with bringing together, and teaching a common language to chemists and physicists working on diverse problems of phase transitions.About the Book by the AuthorTalking informally in a clear way came naturally once intrigued by a field of science; that helped me accept the invitation to publish a collection of review articles. And working actively in an area has led me to express what is new in basic terms, with lots of figures framed, typically, via two- or three-dimensional images. Also encouraging was that my reviews — with crucial references — were recognized in 1983 by the U.S. National Academy of Sciences through their James Murray Luck Award for 'excellence in scientific reviewing.'However, the first article in this collection is by my postdoctoral mentor, Cyril Domb, whose inaugural lecture at King's College London was entitled: 'Statistical Physics and its Problems.' This provides readers with a context for some of the topics later reviewed in greater depth. Among the aspects then explained, are the various critical exponents: α, β, γ, and δ — the special exponents η and ν for the correlation functions, and the scaling relations. Phase diagrams are examined thoroughly along with tricritical and bicritical points, Kosterlitz-Thouless points, protocriticality, etc. Random walks along with vicious walkers and their reunions are introduced. Biophysics is touched upon. The final article: 'Statistical Physics in the Oeuvre of Chen Ning Yang,' stems from the 2015 Conference on 60 Years of Yang-Mills Gauge Field Theories.In conclusion, it is hoped that a wide range of readers (and some experts also!) will enjoy dipping into the variety of reviews collected here.Table of ContentsMichael Fisher At King's College London (Cyril Domb); The Theory of Condensation And The Critical Point (Michael E Fisher); The States of Matter - A Theoretical Perspective (Michael E Fisher); Walks, Walls, Wetting, and Melting (Michael E Fisher); Condensed Matter Physics: Does Quantum Mechanics Matter? (Michael E Fisher); Phases and Phase Diagrams - Gibbs' Legacy Today (Michael E Fisher); How to Simulate Fluid Criticality: The Simplest Ionic Model has Ising Behavior but the Proof is Not so Obvious! (Michael E Fisher); Molecular Motors: A Theorist's Perspective (Anatoly B Kolomeisky and Michael E Fisher); Renormalization Group Theory, the Epsilon Expansion and Ken Wilson as I Knew Him (Michael E Fisher); Statistical Physics in the Oeuvre of Chen Ning Yang (Michael E Fisher);
£38.00
World Scientific Publishing Co Pte Ltd Mathematics For Physicists
Book SynopsisThis book covers the necessary aspects of mathematics for graduate students in physics and engineering. Advanced undergraduate students and researchers who intend to enter the field of theoretical physics can also pick up this book. The first eight chapters include variational method, Hilbert space and operators, ordinary linear differential equations, Bessel functions, Dirac delta function, the Green's function in mathematical physics, norm, integral equations. Beside these traditional contents, the last two chapters introduce some recent achievements of scientific research while presenting their mathematical background. Like the basis of number theory and its application in physics, material science and other scientific fields, the fundamental equations in spaces with arbitrary dimensions, not limited to Euclid space; Pseudo spherical coordinates. Plain terminologies were used to present the concept of metric, as well as new and interesting work on the Klein-Gorden equation and Maxwell equation.
£110.70
World Scientific Publishing Co Pte Ltd Introduction To Geometrical Physics, An
Book SynopsisThis book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature — gravitational, electromagnetic, strong nuclear, and weak nuclear.The book provides in a single volume a thorough introduction to topology and differential geometry, as well as many applications to both mathematical and physical problems. It is aimed as an elementary text and is intended for first year graduate students.In addition to the traditional contents of books on special and general relativities, this book discusses also some recent advances such as de Sitter invariant special relativity, teleparallel gravity and their implications in cosmology for those wishing to reach a higher level of understanding.
£243.00
World Scientific Publishing Co Pte Ltd Introduction To Geometrical Physics, An
Book SynopsisThis book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature — gravitational, electromagnetic, strong nuclear, and weak nuclear.The book provides in a single volume a thorough introduction to topology and differential geometry, as well as many applications to both mathematical and physical problems. It is aimed as an elementary text and is intended for first year graduate students.In addition to the traditional contents of books on special and general relativities, this book discusses also some recent advances such as de Sitter invariant special relativity, teleparallel gravity and their implications in cosmology for those wishing to reach a higher level of understanding.
£69.35
World Scientific Publishing Co Pte Ltd Mathematics For Physicists
Book SynopsisThis book covers the necessary aspects of mathematics for graduate students in physics and engineering. Advanced undergraduate students and researchers who intend to enter the field of theoretical physics can also pick up this book. The first eight chapters include variational method, Hilbert space and operators, ordinary linear differential equations, Bessel functions, Dirac delta function, the Green's function in mathematical physics, norm, integral equations. Beside these traditional contents, the last two chapters introduce some recent achievements of scientific research while presenting their mathematical background. Like the basis of number theory and its application in physics, material science and other scientific fields, the fundamental equations in spaces with arbitrary dimensions, not limited to Euclid space; Pseudo spherical coordinates. Plain terminologies were used to present the concept of metric, as well as new and interesting work on the Klein-Gorden equation and Maxwell equation.
£69.35
World Scientific Publishing Co Pte Ltd Superfluid Universe, A
Book SynopsisThis interesting book provides the physical and mathematical background for a theory describing the universe as a quantum superfluid, and how dark energy and dark matter arise. Presenting a novel theory spanning many different fields in physics, the key concepts in each field are introduced.The reader is only expected to know the rudiments of condensed matter physics, quantum field theory and general relativity to explore this fascinating new model of dark matter and dark energy as facets of a cosmic superfluid.
£42.75
World Scientific Publishing Co Pte Ltd Cpt And Lorentz Symmetry - Proceedings Of The
Book SynopsisThis book contains the Proceedings of the Seventh Meeting on CPT and Lorentz Symmetry, held at Indiana University in Bloomington on June 20-24, 2016. The meeting focused on tests of these fundamental symmetries and on related theoretical issues, including scenarios for possible violations.Topics covered at the meeting include experimental and observational searches for CPT and Lorentz violation involving: accelerator and collider experiments; astrophysical birefringence, dispersion, and anisotropy; atomic and molecular spectroscopy; clock-comparison measurements; CMB polarization; decays of atoms, nuclei, and particles; equivalence-principle tests with matter and antimatter; exotic atoms, muonium, positronium; gauge and Higgs particles; gravimetry; gravitational waves; high-energy astrophysical observations; hydrogen and antihydrogen; matter interferometry; neutrino oscillations and propagation, neutrino-antineutrino mixing; oscillations and decays of K, B, D mesons; particle-antiparticle comparisons; post-Newtonian gravity in the solar system and beyond; resonant cavities lasers; second and third-generation particles; sidereal and annual time variations, compass asymmetries; space-based missions; spin-polarized matter; spin precession; tests of short-range gravity; and time-of-flight measurements. Theoretical and phenomenological discussions include: physical effects at the level of the Standard Model, General Relativity, and beyond; origins and mechanisms for violations; classical and quantum field theory, gravitation, particle physics, and strings; mathematical foundations; and Finsler geometry.
£110.70
World Scientific Publishing Co Pte Ltd Computational Physics: An Introduction To Monte
Book SynopsisThis book is divided into two parts. In the first part we give an elementary introduction to computational physics consisting of 21 simulations which originated from a formal course of lectures and laboratory simulations delivered since 2010 to physics students at Annaba University. The second part is much more advanced and deals with the problem of how to set up working Monte Carlo simulations of matrix field theories which involve finite dimensional matrix regularizations of noncommutative and fuzzy field theories, fuzzy spaces and matrix geometry. The study of matrix field theory in its own right has also become very important to the proper understanding of all noncommutative, fuzzy and matrix phenomena. The second part, which consists of 9 simulations, was delivered informally to doctoral students who were working on various problems in matrix field theory. Sample codes as well as sample key solutions are also provided for convenience and completeness.
£95.40
World Scientific Publishing Co Pte Ltd Chaos, Complexity And Transport - Proceedings Of
Book SynopsisThe main goal is to offer to readers a panorama of recent progress in nonlinear physics, complexity and transport with attractive chapters readable by a broad audience. It allows to gain an insight into these active fields of research and notably promotes the interdisciplinary studies from mathematics to experimental physics. To reach this aim, the book collects a selection of contributions to the third edition of the CCT conference (Marseilles, 1-5 June 2015).
£110.70
World Scientific Publishing Co Pte Ltd Supermanifolds: Theory And Applications
Book SynopsisThis book aims to fill the gap in the available literature on supermanifolds, describing the different approaches to supermanifolds together with various applications to physics, including some which rely on the more mathematical aspects of supermanifold theory.The first part of the book contains a full introduction to the theory of supermanifolds, comparing and contrasting the different approaches that exist. Topics covered include tensors on supermanifolds, super fibre bundles, super Lie groups and integration theory.Later chapters emphasise applications, including the superspace approach to supersymmetric theories, super Riemann surfaces and the spinning string, path integration on supermanifolds and BRST quantization.
£45.60
World Scientific Publishing Co Pte Ltd (Pre-)dawning Of Functional Specialization In
Book SynopsisIn modern physics, various fundamental problems have become topics of ongoing debate. There was the 20th century climb to a Standard Model, still accurate at the highest energy levels obtainable so far. But, since the 1970's, a different approach to physics advocates for theories such as string theory, known for their mathematical elegance, even though they either cannot be verified in data or contradict presently known experimental results. In philosophy of physics, there is a gradually emerging consensus that philosophy of physics and physics somehow contribute to a common enterprise. But, there is little sign of progress toward consensus about the nature of that unity. All the while, it is generally recognized that physics is interdisciplinary. There are, of course, differences in focus. But, implicitly at least, there are no 'sharp dividing lines' between physics and philosophy of physics; pure and applied physics; physical chemistry; biophysics; medical physics; history and philosophy of physics; physics and society; physics education; and so on. What, then, is progress in physics? The question here is not about ideal structures, but asks about what is going on in physics. Beginnings in discerning the presence of eight main tasks help reveal the (pre-) emergence of a normative omni-disciplinary basis for collaboration that, once adverted to, promises to be constitutive of a new and increasingly effective control of meaning. Originally discovered by Bernard Lonergan in 1965, progress in the new collaboration will not seek to eliminate specialized expertise. It will, though, divide tasks within an eightfold functional division of labor. This book invites attention to data for each of the eight main tasks evident and self-evident in existing scholarship in the community. The book also makes preliminary efforts toward envisioning something of what functional collaboration will look like — in physics, the Academy and Society.
£76.95
World Scientific Publishing Co Pte Ltd Advances In The Computational Sciences -
Book SynopsisOn August 20, 2015, a symposium at Lawrence Livermore National Laboratory was held in honor of Berni J. Alder's 90th birthday. Many of Berni's scientific colleagues and collaborators, former students, and post-doctoral fellows came to celebrate and honor Berni and the ground-breaking scientific impact of his many discoveries. This proceedings volume includes contributions from Berni's collaborators and covers a range of topics, including the melting transition in the 2D hard disk system, non-equilibrium fluid relaxation, the role of fluctuations in hydrodynamics, glass transitions, molecular dynamics of dense fluids, shock-wave and finite-strain equation of state relationships, and applications of quantum mechanics in pattern recognition.
£95.40
World Scientific Publishing Co Pte Ltd Scattering By Obstacles And Potentials
Book SynopsisThe book is important as it contains results many of which are not available in the literature, except in the author's papers. Among other things, it gives uniqueness theorems for inverse scattering problems when the data are non-over-determined, numerical method for solving inverse scattering problems, a method (MRC) for solving direct scattering problem.
£175.50
World Scientific Publishing Co Pte Ltd Half-century Of Physical Asymptotics And Other
Book Synopsis'Comments made on the philosophy and conduct of science are valuable and have been influenced strongly by academic contacts at the University of Bristol, and indeed worldwide … The variety of papers and their intended readerships make much of this volume appropriate and enjoyable for general readers, as well as for specialists.'Contemporary PhysicsMichael Berry is a theoretical physicist who has contributed to a wide variety of areas in quantum mechanics, optics and related mathematics, linked by the geometrical aspects of waves, especially phase. This collection of his selected published and unpublished papers, reviews, tributes to other scientists, speeches and other works ranges from the technical to the popular. It is organized by the themes of his significant scientific contributions. Detailed introductions emphasize the rich connections between the different themes. An essential read for physicists, mathematicians, students and philosophers of science.
£207.00
World Scientific Publishing Co Pte Ltd Half-century Of Physical Asymptotics And Other
Book Synopsis'Comments made on the philosophy and conduct of science are valuable and have been influenced strongly by academic contacts at the University of Bristol, and indeed worldwide … The variety of papers and their intended readerships make much of this volume appropriate and enjoyable for general readers, as well as for specialists.'Contemporary PhysicsMichael Berry is a theoretical physicist who has contributed to a wide variety of areas in quantum mechanics, optics and related mathematics, linked by the geometrical aspects of waves, especially phase. This collection of his selected published and unpublished papers, reviews, tributes to other scientists, speeches and other works ranges from the technical to the popular. It is organized by the themes of his significant scientific contributions. Detailed introductions emphasize the rich connections between the different themes. An essential read for physicists, mathematicians, students and philosophers of science.
£58.90
World Scientific Publishing Co Pte Ltd Physical Effects Of Geometric Phases
Book SynopsisBerry phase has been widely used in condensed matter physics in the past two decades. This volume is a timely collection of essential papers in this important field, which is highlighted by 2016 Nobel Prize in physics and recent exciting developments in topological matters. Each chapter has an introduction, which helps readers to understand the reprints that follow.
£121.50
World Scientific Publishing Co Pte Ltd Introduction To General Relativity: Solutions To
Book SynopsisIt is important for every physicist today to have a working knowledge of Einstein's theory of general relativity. Introduction to General Relativity published in 2007 was aimed at first-year graduate students, or advanced undergraduates, in physics. Only a basic understanding of classical lagrangian mechanics is assumed; beyond that, the reader should find the material to be self-contained.The mechanics problem of a point mass constrained to move without friction on a two-dimensional surface of arbitrary shape serves as a paradigm for the development of the mathematics and physics of general relativity. Special relativity is reviewed. The basic principles of general relativity are then presented, and the most important applications are discussed. The final special topics section takes the reader up to a few areas of current research. An extensive set of accessible problems enhances and extends the coverage.As a learning and teaching tool, this current book provides solutions to those problems. This text and solutions manual are meant to provide an introduction to the subject. It is hoped that these books will allow the reader to approach the more advanced texts and monographs, as well as the continual influx of fascinating new experimental results, with a deeper understanding and sense of appreciation.
£39.90
