Mathematical / Computational / Theoretical physics Books

Book SynopsisNoncommutative geometry combines themes from algebra, analysis and geometry and has significant applications to physics. This book focuses on cyclic theory, and is based upon the lecture courses by Daniel G. Quillen at the University of Oxford from 198892, which developed his own approach to the subject. The basic definitions, examples and exercises provided here allow non-specialists and students with a background in elementary functional analysis, commutative algebra and differential geometry to get to grips with the subject. Quillen''s development of cyclic theory emphasizes analogies between commutative and noncommutative theories, in which he reinterpreted classical results of Hamiltonian mechanics, operator algebras and differential graded algebras into a new formalism. In this book, cyclic theory is developed from motivating examples and background towards general results. Themes covered are relevant to current research, including homomorphisms modulo powers of ideals, traces onTrade Review'The monograph is an excellent introduction to cyclic theory and an absolute must to any academic library, let alone a superb first-hand account and a selfless tribute to the late Daniel G. Quillen.' Igor V. Nikolaev, zbMATHTable of ContentsIntroduction; 1. Background results; 2. Cyclic cocycles and basic operators; 3. Algebras of operators; 4. GNS algebra; 5. Geometrical examples; 6. The algebra of noncommutative differential forms; 7. Hodge decomposition and the Karoubi operator; 8. Connections; 9. Cocycles for a commutative algebra over a manifold; 10. Cyclic cochains; 11. Cyclic cohomology; 12. Periodic cyclic homology; References; List of symbols; Index of notation; Subject index.

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Book SynopsisThis book and CD-ROM package has been developed in a lab-oriented course taught at Cal Tech in 1995 and 1996, and simultaneously augmented by artificial life research conducted there.Table of Contents1 Flavors of Artificial Life.- 1.1 Whither a Theory of the Living State?.- 1.2 Emulation and Simulation.- 1.3 Carbon-Based Artificial Life.- 1.4 Turing and von Neumann Automata.- 1.5 Cellular Automata.- 1.6 Overview.- 2 Artificial Chemistry and Self-Replicating Code.- 2.1 Virtual Machines and Self-Reproducing CA.- 2.2 Viruses and Core Worlds.- 2.3 The tierra System.- 2.4 avida, amoeba, and the Origin of Life.- 2.5 Overview.- 3 Introduction to Information Theory.- 3.1 Information Theory and Life.- 3.2 Channels and Coding.- 3.3 Uncertainty and Shannon Entropy.- 3.4 Joint and Conditional Uncertainty.- 3.5 Information.- 3.6 Noiseless Coding.- 3.7 Channel Capacity and Fundamental Theorem.- 3.8 Information Transmission Capacity for Genomes.- 3.9 Overview.- 4 Statistical Mechanics and Thermodynamics.- 4.1 Phase Space and Statistical Distribution Function.- 4.2 Averages, Ergodicity, and the Ergodic Theorem.- 4.3 Thermodynamical Equilibrium, Relaxation.- 4.4 Energy.- 4.5 Entropy.- 4.6 Second Law of Thermodynamics.- 4.7 Tèmperature.- 4.8 The Gibbs Distribution.- 4.9 Nonequilibrium Thermodynamics.- 4.10 First-Order Phase Transitions.- 4.11 Overview.- 5 Complexity of Simple Living Systems.- 5.1 Complexity and Information.- 5.2 The Maxwell Demon.- 5.3 Kolmogorov Complexity.- 5.4 Physical Complexity and the Natural Maxwell Demon.- 5.5 Complexity of tRNA.- 5.6 Complexity in Artificial Life.- 5.7 Overview.- 6 Self-Organization to Criticality.- 6.1 Self-Organization and Sandpiles.- 6.2 SOC in Forest Fires.- 6.3 SOC in the Living State.- 6.4 Theories of SOC.- 6.5 Overview.- 7 Percolation.- 7.1 Site Percolation.- 7.2 Cluster Size Distribution.- 7.3 Percolation in 1D.- 7.4 Higher-Dimensional Euclidean Lattices.- 7.5 Percolation on the Bethe Lattice.- 7.6 Scaling Theory.- 7.7 Percolation and Evolution.- 7.8 Overview.- 8 Fitness Landscapes.- 8.1 Theoretical Formulation.- 8.2 Example Landscapes.- 8.3 Fractal Landscapes.- 8.4 Diffusive and Nondiffusive Processes.- 8.5 RNA Landscapes.- 8.6 Fitness Landscape in avida.- 8.7 Overview.- 9 Experiments with avida.- 9.1 Choice of Chemistry.- 9.2 A Simple Experiment.- 9.3 Experiments in Adaptation.- 9.4 Experiments with Species and Genetic Distance.- 9.5 Overview.- 10 Propagation of Information.- 10.1 Information Transport and Equilibrium.- 10.2 The Artificial Life System sanda.- 10.3 Diffusion and Waves.- 10.4 Comparison: Theory and Experiment.- 10.5 Overview.- 11 Adaptive Learning at the Error Threshold.- 11.1 Information Processing at the Edge of Chaos.- 11.2 Adaptation to Computation in avida.- 11.3 Eigen’s Error Threshold.- 11.4 Molecular Evolution as an Ising Model.- 11.5 The Race to the Error Threshold.- 11.6 Approach to Error Threshold in avida.- 11.7 Overview.- A The avida User’s Manual.- A.1 Introduction.- A.2 A Beginner’s Guide to avida.- A.3 Time Slicing and the Fitness Landscape.- A.4 Reproduction.- A.5 The Virtual Computer.- A.6 Mutations.- A.7 Installing avida.- A.8 The Text Interface.- A.9 Configuring avida Runs.- A.10 Guide to Output Files.- A.11 Summary of Variables.- A.12 Glossary.- References.

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Book SynopsisThis book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos).Table of ContentsIntroduction.- Linear Systems with Constant Coefficients.- Nonlinear Systems: Local Theory.- Nonlinear Systems: Global Theory.- Nondimensionalization and Scaling.- Trajectories Near Equilibria.- Oscillations in ODEs.- Bifurcation from Equilibria.- Examples of Global Bifurcation.- Epilogue.- Appendices.

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Book SynopsisAn integrated guide to cellular biophysics and nonlinear dynamics, introducing students to the mathematical modeling of excitable cells. It combines empirical physiology and mathematical theory to present key interdisciplinary tools, highlighting how quantitative approaches can complement and advance bench research.Trade Review'In this text, Conradi Smith does an excellent job of teaching students with no mathematical training beyond calculus how to use differential equations to understand the basic principles of cell physiology and excitability. He skilfully walks students through the steps of modeling and analysis, all the while working to develop intuition and insight into how things work. His emphasis on computational methods for solution as well as graphical and geometrical means for interpretation enables him to communicate complex ideas in understandable ways. Furthermore, his patience and attention to detail will be appreciated by those students who have not had extensive exposure to the art of mathematical modeling. This text is a wonderful addition to the mathematical biology textbook literature.' James P. Keener, University of UtahTable of Contents1. Introduction; Part I. Models and Odes: 2. Compartmental modeling; 3. Phase diagrams; 4. Ligands, receptors and rate laws; 5. Function families and characteristic times; 6. Bifurcation diagrams of scalar ODEs; Part II. Passive Membranes: 7. The Nernst equilibrium potential; 8. The current balance equation; 9. GHK theory of membrane permeation; Part III. Voltage-Gated Currents: 10. Voltage-gated ionic currents; 11. Regenerative ionic currents and bistability; 12. Voltage-clamp recording; 13. Hodgkin-Huxley model of the action potential; Part IV. Excitability and Phase Planes: 14. The Morris-Lecar model; 15. Phase plane analysis; 16. Linear stability analysis; Part V. Oscillations and Bursting: 17. Type II excitability and oscillations; 18. Type I excitability and oscillations; 19. The low-threshold calcium spike; 20. Synaptic currents.

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Book SynopsisThis text organizes a range of results in chromatic homotopy theory, running a single thread through theorems in bordism and a detailed understanding of the moduli of formal groups. It emphasizes the naturally occurring algebro-geometric models that presage the topological results, taking the reader through a pedagogical development of the field. In addition to forming the backbone of the stable homotopy category, these ideas have found application in other fields: the daughter subject ''elliptic cohomology'' abuts mathematical physics, manifold geometry, topological analysis, and the representation theory of loop groups. The common language employed when discussing these subjects showcases their unity and guides the reader breezily from one domain to the next, ultimately culminating in the construction of Witten''s genus for String manifolds. This text is an expansion of a set of lecture notes for a topics course delivered at Harvard University during the spring term of 2016.Trade Review'It has a down-to-earth and inviting style (no small achievement in a book about functorial algebraic geometry). It is elegant, precise, and incisive, and it is strong on both theory and calculation.' Michael Berg, MAA Reviews'This book is likely to be quite useful to graduate students in algebraic topology. For years it has been an informal tradition for students of algebraic topology to teach themselves enough of the foundations of algebraic geometry to be able to translate between theorems about Hopf algebroids and theorems about algebraic stacks, and then to proceed to translate, as much as possible, calculations and theorems in algebraic topology into equivalent formulations in terms of moduli stacks of formal groups and related objects. This book does a great service to such students (and their advisors!), as it gives good answers to many of the questions such students inevitably ask.' Andrew Salch, MatSciNet'The presentation is lucid, pedagogical, and also offers a fresh point of view on classical topics. It draws from several mostly unpublished sources, for instance Strickland's manuscripts or various sets of notes by Goerss, Hopkins, and Lurie, and combines them in a single uniform treatment. Moreover, it contains a wealth of references to the published and unpublished literature that guides the interested reader to further topics that are only discussed in passing.' Tobias Barthel, zbMATH OpenTable of ContentsForeword Matthew Ando; Preface; Introduction; 1. Unoriented bordism; 2. Complex bordism; 3. Finite spectra; 4. Unstable cooperations; 5. The σ-orientation; Appendix A. Power operations; Appendix B. Loose ends; References; Index.

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Book SynopsisGroup theory helps readers in understanding the energy spectrum and the degeneracy of systems possessing discrete symmetry and continuous symmetry. The fundamental concepts of group theory and its applications are presented with the help of solved problems and exercises. The text covers two essential aspects of group theory, namely discrete groups and Lie groups. Important concepts including permutation groups, point groups and irreducible representation related to discrete groups are discussed with the aid of solved problems. Topics such as the matrix exponential, the circle group, tensor products, angular momentum algebra and the Lorentz group are explained to help readers in understanding the quark model and theory composites. Real-life applications including molecular vibration, level splitting perturbation, crystal field splitting and the orthogonal group are also covered. Application-oriented solved problems and exercises are interspersed throughout the text to reinforce understaTable of ContentsPreface; Acknowledgement; Dedication; 1. Introduction; 2. Molecular symmetry; 3. Representations of finite groups; 4. Elementary applications; 5. Lie groups and lie algebras; 6. Further applications; Reference; Index.

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Book SynopsisFrom Bäcklund to Darboux, this monograph presents a comprehensive journey through the transformation theory of constrained Willmore surfaces, a topic of great importance in modern differential geometry and, in particular, in the field of integrable systems in Riemannian geometry. The first book on this topic, it discusses in detail a spectral deformation, Bäcklund transformations and Darboux transformations, and proves that all these transformations preserve the existence of a conserved quantity, defining, in particular, transformations within the class of constant mean curvature surfaces in 3-dimensional space-forms, with, furthermore, preservation of both the space-form and the mean curvature, and bridging the gap between different approaches to the subject, classical and modern. Clearly written with extensive references, chapter introductions and self-contained accounts of the core topics, it is suitable for newcomers to the theory of constrained Wilmore surfaces. Many detailed compTable of ContentsIntroduction; 1. A bundle approach to conformal surfaces in space-forms; 2. The mean curvature sphere congruence; 3. Surfaces under change of flat metric connection; 4. Willmore surfaces; 5. The Euler–Lagrange constrained Willmore surface equation; 6. Transformations of generalized harmonic bundles and constrained Willmore surfaces; 7. Constrained Willmore surfaces with a conserved quantity; 8. Constrained Willmore surfaces and the isothermic surface condition; 9. The special case of surfaces in 4-space; Appendix A. Hopf differential and umbilics; Appendix B. Twisted vs. untwisted Bäcklund transformation parameters; References; Index.

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Book SynopsisPerturbation Theory: Advances in Research and Applications begins with a deliberation on the development of a formalism of the Exchange perturbation theory (EPT) that accounts for the general identity principle of electrons that belong to different atomic centres. The possible applications of the theory concerning scattering and collision problems are discussed, and the authors apply the TDEPT to the description of the positron scattering on a Lithium atom as an example. Next, spin fluctuations in metallic multiband systems are discussed, including how to calculate the effect of itinerant spin excitations on the electronic properties and formulate a theory of spin fluctuation-induced superconductivity. The function of spin-orbit coupling is emphasized. Following this, the authors review how, governed by chiral symmetry, the long- and intermediate-range parts of the $NN$ potential unfold order by order, proceeding up to sixth order where convergence is achieved. Perturbative and nonperturbative approaches to nuclear amplitude are discussed, including the implications for renormalization. Continuing, this book presents proof of the good convergence properties of the new expansions on mathematical models that simulate the physical polarization function for light quarks and its derivative (the Adler function), in various prescriptions of renormalization-group summation. An overview of the calculation of one-loop corrections to the baryon axial vector current in the large-Nc heavy baryon chiral perturbation theory is offered, where Nc is the number of color charges. The matrix elements of the space components of the renormalization of the baryon axial vector current between SU(6) symmetric states yield the values of the axial vector couplings.

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Book SynopsisIt is well-known that the fundamental problem in contemporary theoretical physics is the "pacific coexistence" between General Relativity and Quantum Mechanics. The scenarios of the explorable relationships between classical space-time and quantum land are various: the geometrodynamic one (by a proper extension of geometry), the stochastic fractal one (defining a middle land mediated by QFT-like hypotheses), the emergent one (from a physical viewpoint, by the collective behaviours of discrete entities, which mathematically means that the geometry derives from an algebraic structure of events).This anthology includes some of the most significant voices on the problem of the possible relations between the space-time dynamics and the quantum networks of events.

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Book SynopsisThis book gives an overview of Cloud Computing (CC) and presents a literature review explaining the development of CC. Selected frameworks are discussed, including those suitable for this research. Technical and organisational challenges for CC are also identified. This book focuses on organisational challenges and recommendations to address organisational challenges. To help organisations achieve good Cloud design, deployment and services, there is a need for the proposal and development of a framework, the Cloud Computing Business Framework (CCBF), which explains how three research questions are connected together. The CCBF is a conceptual and an architectural framework to be validated through modelling, simulation, experiments and hybrid case studies. The architecture of the CCBF is presented to explain how different key areas can relate to each other and fit into the framework. Results of case studies, simulations, modelling and experiments are used to validate CCBF and are discussed in details which collaborators find results of CCBF useful for their Cloud adoption. Selected results have been published including four journals and one book chapter. Finally, future work plans are proposed and followed-up steps are explained.

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Book SynopsisSecond harmonic generation (SHG) has a wide range of applications in today's technological era, including nonlinear optics, quantum optics, lasers, material science, medical science, biological imaging, and high-resolution optical microscopy. In the laser industry, for example, SHG is prudent to create wavelength-specific high-energy lasers. It is also used to measure ultra-short pulse width with autocorrelators. SHG is now indispensable as a spectroscopic imaging tool in applications, such as biophysical characterization of the plasma membrane, biological sensing, disease diagnostics, and investigations of biomolecular interactions at interfaces. Because of its non-destructive detection, ultrafast response, and polarization sensitivity, SHG is exploited to describe crystal structures and materials. The use of SHG to characterize two-dimensional (2D) material structures gives crucial insights into their physical properties, thereby promoting the development of the relevant basic research, leading to the investigation of the potential applications of those materials. Developments in SHG research hold promising potentials of a large class of materials, such as magnetic- and nonmagnetic layered materials, perovskites, antiferromagnetic oxides, II-VI and III-V semiconductors, and nanotubes, for a variety of technological applications. This book focuses on the process of modelling and simulations of the SHG phenomenon in the area of nonlinear and quantum optics. The first chapter provides a visualization of the scientific landscape of research in SHG using scientometric analysis from 1962 to 2020 based on Scopus database. This chapter gives new postgraduate students in the subject useful information on hot themes in SHG research and how they are related to one another. There is also a brief mention of multinational collaborative networks. The following four research chapters look at the SHG from a classical standpoint, using Maxwell's equations to describe the nonlinear optical interaction between the electromagnetic wave and the medium. Such interaction is treated quantum mechanically in the second section of the book, with the SHG process described using a propagating Hamiltonian. As such, the volume adequately describes the SHG from both the classical and quantum mechanical standpoints. This allows the postgraduate researchers, focusing on the nonlinear phenomena, resulting from light-matter interaction, to find the content useful. In the second part of this volume, readers are introduced to a full theoretical analysis of the quantum features generated in certain optical devices, such as a two-waveguide device working under the SHG and coupled waveguide arrays with the combined second- and third-order nonlinear effects. To be more specific, this part discusses how SHG-enabled devices might be a useful source of nonclassical light. This section remains relevant for postgraduate students commencing their studies in quantum optics, where the nonclassical phenomena, such as squeezing and entanglement, require a solid understanding of the underlying techniques, namely the phase space and the analytical perturbative methods.Table of ContentsPreface; Visualizing the Scientific Landscape of Research in Second Harmonic Generation: A Scientometric Review; Modeling Efficient Second Harmonic Generation in Microcrystalline KDP Fibers: Part I; Modeling Efficient Second Harmonic Generation in Microcrystalline KDP Fibers: Part II; Design and Analysis of Photonic Crystal-Based Integrated Optical Devices Using the Finite Difference Method; Nonlinear Optical Properties in Single and Coupled InAs/GaAs Quantum Dots; Quantum Properties of Light in Codirectional Coupler with Second Harmonic Generation; Quantum Dynamics of Contradirectional Nonlinear Coupler; Squeezed Light in Coupled Waveguide Networks Induced by the Nonlinear Kerr Effect and Second Harmonic Generation; About the Editor; List of Contributors; Index.

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Book SynopsisThis book presents the reader with modern tools, approaches, approximations, and applications of quantum mechanics. Quantum mechanics forms the foundation of all modern physics, including atomic, nuclear, and molecular physics, the physics of the elementary particles, condensed matter physics, and also modern astrophysics.Trade Review"The book teaches students how to approach and solve the types of quantum mechanical problems they will encounter throughout their careers. It will serve as an excellent text for a graduate level course." * C. Stephen Hellberg, Naval Research Laboratory *Table of Contents1. Schrodinger equation on a lattice ; 2. Dirac notation ; 3. Back to Schrodinger equation on the lattice ; 4. Operator-mechanics ; 5. Time evolution and wave packets ; 6. Simulaneaous observables ; 7. Continuity equation and wavefunction properties ; 8. Bond states in one-dimension ; 9. Scattering in one dimension ; 10. Periodic Potentials ; 11. The harmonic oscillator ; 12. WKB approximation ; 13. Quantum mechanics and path integrals ; 14. Applications of path integrals ; 15. Angular momentum ; 16. Bound states in spherically symmetric potentials ; 17. The hydrogen-like atom ; 18. Angular momentum and spherical symmetry ; 19. Scattering in 3D ; 20. Time independent perturbation expansion ; 21. Applications of perturbation theory ; 22. Time-dependent Hamiltonian ; 23. Spin angular momentum ; 24. Adding angular momenta ; 25. Identical particles ; 26. Elementary atomic physics ; 27. Molecules ; 28. The elasticity field ; 29. Quantization of the free electromagnetic field ; 30. Interaction of radiation with charged particles ; 31. Elementary relativistic quantum mechanics

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Book SynopsisThis volume contains a collection of papers based on lectures delivered by distinguished mathematicians at Clay Mathematics Institute events over the past few years. It is intended to be the first in an occasional series of volumes of CMI lectures. Although not explicitly linked, the topics in this inaugural volume have a common flavour and a common appeal to all who are interested in recent developments in geometry. They are intended to be accessible to all who work in this general area, regardless of their own particular research interests.Table of Contents1: Edward Witten: Two Lectures On The Jones Polynomial and Khovanov Homology 2: Marc Lackenby: Elementary Knot Theory 3: Martin R. Bridson: Cube Complexes, Subgroups of Mapping Class Groups, and Nilpotent Genus 4: Helmut Hofer: Polyfolds and Fredholm Theory 5: Rahul Pandharipande: Maps, Sheaves and K3 Surfaces

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Book SynopsisThis book collects lecture courses and seminars given at the Les Houches Summer School 2010 on "Quantum Theory: From Small to Large Scales". It reviews the state-of-the-art developments in this field by touching on different research topics from an interdisciplinary perspective.Table of Contents1. A Word from the Organizers ; 2. Mass Renormalization in Nonrelativstic Quantum Electrodynamics ; 3. Quantum Brownian Motion ; 4. The Temporal Ultraviolet Limit ; 5. Locality in Quantum Systems ; 6. Entropic Fluctuations in Quantum Statistical Mechanics - An Introduction ; 7. Quantum Phase Transitions: Introduction and Some Open Problems ; 8. Cold Quantum Gases and Bose-Einstein Condensation ; 9. Renormalization Group and Problem of Radiation ; 10. SUSY Statistical Mechanics and Random Band Matrices ; 11. Long-time diffusion for a quantum particle ; 12. Universality of Generalized Wigner Matrices ; 13. On Transport in Quantum Devices ; 14. The ground state construction of the two-dimennsion Hubbard model on the honeycomb lattice

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Book SynopsisBrownian diffusion is the motion of one or more solute molecules in a sea of very many, much smaller solvent molecules. Its importance today owes mainly to cellular chemistry, since Brownian diffusion is one of the ways in which key reactant molecules move about inside a living cell. This book focuses on the four simplest models of Brownian diffusion: the classical Fickian model, the Einstein model, the discrete-stochastic (cell-jumping) model, and the Langevin model. The authors carefully develop the theories underlying these models, assess their relative advantages, and clarify their conditions of applicability. Special attention is given to the stochastic simulation of diffusion, and to showing how simulation can complement theory and experiment. Two self-contained tutorial chapters, one on the mathematics of random variables and the other on the mathematics of continuous Markov processes (stochastic differential equations), make the book accessible to researchers from a broad spectrum of technical backgrounds.Trade ReviewIn a lively tutorial style, the authors discuss some of the most widely used mathematical formulations of diffusion. They have endeavored to organize and present the subject matter from a purely logical perspective. They emphasize the basic physical assumptions and the conditions for the validity of each of the mathematical formalisms. No subtlety is bypassed, and no limitation of the theory is swept under the carpet. * Debashish Chowdhury, Physics today *In a lively tutorial style, the authors discuss some of the most widely used mathematical formulations of diffusion. They have endeavored to organize and present the subject matter "from a purely logical perspective". They emphasize the basic physical assumptions and the conditions for the validity of each of the mathematical formalisms. No subtlety is bypassed, and no limitation of the theory is swept under the carpet. * Physics Today *Table of Contents1. The Fickian theory of diffusion ; 2. A review of random variable theory ; 3. Einstein's theory of diffusion ; 4. Implications and limitations of the Einstein theory of diffusion ; 5. The discrete-stochastic approach ; 6. Master equations and simulation algorithms for the discrete-stochastic approach ; 7. Continuous Markov process theory ; 8. Langevin's theory of diffusion ; 9. Implications of Langevin's theory ; 10. Diffusion in an external force field ; 11. The first-passage time approach

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Book SynopsisAn important task of theoretical quantum physics is the building of idealized mathematical models to describe the properties of quantum matter. This book provides an introduction to the arguably most important method for obtaining exact results for strongly interacting models of quantum matter - the Bethe ansatz. It introduces and discusses the physical concepts and mathematical tools used to construct realistic models for a variety of different fields, including condensed matter physics and quantum optics. The various forms of the Bethe ansatz - algebraic, coordinate, multicomponent, and thermodynamic Bethe ansatz, and Bethe ansatz for finite systems - are then explained in depth and employed to find exact solutions for the physical properties of the integrable forms of strongly interacting quantum systems.The Bethe ansatz is one of the very few methodologies which can calculate physical properties non-perturbatively. Arguably, it is the only such method we have which is exact. This mTable of Contents1: Introduction Part 1 Methods and Models in the Theory of Quantum Matter 2: Quantum Many-Particle Systems and Second Quantization 3: Angular Momentum 4: Equilibrium Statistical Mechanics 5: Phase Transitions, Critical Phenomena, and Finite-Size Scaling 6: Statistical Mechanics and Quantum Field Theory 7: Conformal Symmetry in Statistical Mechanics 8: Models of Strongly Interacting Quantum Matter Part 2 Algebraic Bethe Ansatz 9: Ice Model 10: General Square Lattice Vertex Models 11: Six-Vertex Model 12: Quantum Tavis-Cummings Model Part 3 Coordinate Bethe Ansatz 13: The Anisotropic Heisenberg Quantum Spin Chain 14: Bethe Ansatz for the Anisotropic Heisenberg Quantum Spin Chain 15: Bose Gas in One Dimension: Lieb-Liniger Model Part 4 Electronic Systems: Nested Bethe Ansatz 16: Electronic Systems Part 5 Thermodynamic Bethe Ansatz 17: Thermodynamics of the Repulsive Lieb-Liniger Model 18: Thermodynamics of the Isotropic Heisenberg Quantum Spin Chain Part 6 Bethe Ansatz for Finite Systems 19: Mathematical Tools 20: Finite Heisenberg Quantum Spin Chain References Index

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