Mathematical / Computational / Theoretical physics Books
Springer Verlag, Singapore Macdonald Polynomials: Commuting Family of q-Difference Operators and Their Joint Eigenfunctions
Book SynopsisThis book is a volume of the Springer Briefs in Mathematical Physics and serves as an introductory textbook on the theory of Macdonald polynomials. It is based on a series of online lectures given by the author at the Royal Institute of Technology (KTH), Stockholm, in February and March 2021. Macdonald polynomials are a class of symmetric orthogonal polynomials in many variables. They include important classes of special functions such as Schur functions and Hall–Littlewood polynomials and play important roles in various fields of mathematics and mathematical physics. After an overview of Schur functions, the author introduces Macdonald polynomials (of type A, in the GLn version) as eigenfunctions of a q-difference operator, called the Macdonald–Ruijsenaars operator, in the ring of symmetric polynomials. Starting from this definition, various remarkable properties of Macdonald polynomials are explained, such as orthogonality, evaluation formulas, and self-duality, with emphasis on the roles of commuting q-difference operators. The author also explains how Macdonald polynomials are formulated in the framework of affine Hecke algebras and q-Dunkl operators.Table of ContentsOverview of Macdonald polynomials.- Preliminaries on symmetric functions.- Schur functions.- Macdonald polynomials: Definition and examples.- Orthogonality and higher order q-difference operators.- Self-duality, Pieri formula and Cauchy formulas.- Littlewood–Richardson coefficients and branching coefficients.- Affine Hecke algebra and q-Dunkl operators (overview).
£37.99
Cambridge University Press Moonshine The First Quarter Century and Beyond Proceedings of a Workshop on the Moonshine Conjectures and Vertex Algebras 372 London Mathematical Society Lecture Note Series Series Number 372
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£77.90
Cambridge University Press Scattering from Black Holes
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£50.22
Cambridge University Press SemiClassical Methods for NucleusNucleus Scattering Cambridge Monographs on Mathematical Physics
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£45.90
Cambridge University Press Synthetic Geometry of Manifolds Cambridge Tracts in Mathematics 180
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£111.00
Cambridge University Press Symmetries and Integrability of Difference Equations 381 London Mathematical Society Lecture Note Series Series Number 381
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£60.10
Cambridge University Press A Students Guide to Fourier Transforms With Applications in Physics and Engineering Students Guides
Book SynopsisFourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of Computer Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van CittertâZernike theorem, Trade ReviewFrom previous editions: 'It is the wide range of topics that makes this book so appealing … I highly recommend this book for the advanced student … Even the expert who wants a deeper appreciation of the Fourier transform will find the book useful.' Computers in Physics'… this is an excellent book to initiate students who possess a reasonable mathematical background to the use of Fourier transforms …' Microscopy and AnalysisTable of Contents1. Physics and Fourier transforms; 2. Useful properties and theorems; 3. Applications 1: Fraunhofer diffraction; 4. Applications 2: signal analysis and communication theory; 5. Applications 3: spectroscopy and spectral line shapes; 6. Two-dimensional Fourier transforms; 7. Multi-dimensional Fourier transforms; 8. The formal complex Fourier transform; 9. Discrete and digital Fourier transforms; 10. Appendix; 11. Bibliography; 12. Index.
£24.69
Cambridge University Press Cellular Biophysics and Modeling
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£51.21
Cambridge University Press Fractals Scaling and Growth Far from Equilibrium 05 Cambridge Nonlinear Science Series Series Number 5
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£77.66
Cambridge University Press Introduction to Statistical Field Theory
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£74.99
Cambridge University Press Fractals Scaling and Growth Far from Equilibrium 5 Cambridge Nonlinear Science Series Series Number 5
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£131.10
Cambridge University Press Soliton Equations and Their AlgebroGeometric Solutions Volume 2 11Dimensional Discrete Models Cambridge Studies in Advanced Mathematics Series Number 114
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£129.00
Cambridge University Press Stochastic Processes for Physicists Understanding Noisy Systems
Book SynopsisThis textbook is an accessible introduction to stochastic processes and their applications, as well as methods for numerical simulation, for graduate students and researchers in physics. It includes coverage of the more exotic Levy processes, and a concise account of numerical methods for simulating stochastic systems driven by Gaussian noise.Trade Review'Jacobs is an enthusiastic, clear, and concise writer. He presents each theory by means of heuristic arguments and calculations.' Cosma Shalizi, Physics Today'I think this book is a very nice introduction to the subject of stochastic processes.' Zentralblatt MATHTable of Contents1. A review of probability theory; 2. Differential equations; 3. Stochastic equations with Gaussian noise; 4. Further properties of stochastic processes; 5. Some applications of Gaussian noise; 6. Numerical methods for Gaussian noise; 7. Fokker–Planck equations and reaction-diffusion systems; 8. Jump processes; 9. Levy processes; 10. Modern probability theory; Appendix; References; Index.
£53.19
Cambridge University Press Gravity and Strings
Book SynopsisSelf-contained, comprehensive, and consistent, this definitive new edition is a unique resource for graduate students and researchers in theoretical physics. This second edition contains over 300 pages of new material, covers an extensive array of topics, and is accompanied by an exhaustive index and bibliography. An exceptional reference work.Table of Contents1. Differential geometry; 2. Symmetries and Noether's theorems; 3. A perturbative introduction to general relativity; 4. Action principles for gravity; 5. Pure N=1,2,d=4 supergravities; 6. Matter-coupled N=1,d=4 supergravity; 7. Matter-coupled N=2,d=4 supergravity; 8. A generic description of all the N>2,d=4 SUEGRAS; 9. Matter-coupled N=1,d=5 supergravity; 10. Conserved charges in general relativity; 11. The Schwarzschild black hole; 12. The Reissner–Nordström black hole; 13. The Taub–NUT solution; 14. Gravitational pp-waves; 15. The Kaluza–Klein black hole; 16. Dilaton and dilaton/axion black holes; 17. Unbroken supersymmetry I: supersymmetric vacua; 18. Unbroken supersymmetry II: partially supersymmetric solutions; 19. Supersymmetric black holes from supergravity; 20. String theory; 21. The string effective action and T duality; 22. From eleven to four dimensions; 23. The type-IIB superstring and type-II T duality; 24. Extended objects; 25. The extended objects of string theory; 26. String black holes in four and five dimensions; 27. The FGK formalism for (single, static) black holes and branes; Appendices: A.1 Lie groups, symmetric spaces, and Yang–Mills fields; A.2 The irreducible, non-symmetric Riemannian spaces of special holonomy; A.3 Miscellanea on the symplectic group; A.4 Gamma matrices and spinors; A.5 Kähler geometry; A.6 Special Kähler geometry; A.7 Quaternionic-Kähler geometry.
£123.00
Cambridge University Press CP Violation
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£170.85
Cambridge University Press Lectures on Khler Geometry 69 London Mathematical Society Student Texts Series Number 69
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£123.00
Cambridge University Press Quantum Field Theory in Curved Spacetime Quantized Fields and Gravity Cambridge Monographs on Mathematical Physics
Book SynopsisSuitable for graduate students, this book presents detailed derivations of cosmological and black hole processes in which curved spacetime plays a key role. It explains how such processes in the early universe leave observable consequences today, and how these processes uncover deep connections between gravitation and elementary particles.Trade Review"While readers of Birrel and Davies will certainly like this new book, newcomers and students will appreciate the breadth and the style of a treatise written by two well known scientists who have dedicated their lives to the understanding of the treatment of quantum fields in a fixed gravitational background." Massimo Giovannini, CERN Courier"This is an interesting book which contains a lot of material about an important topic of theoretical physics." Michael Keyl, Mathematical ReviewsTable of ContentsPreface; Conventions and notation; 1. Quantum fields in Minkowski spacetime; 2. Basics of quantum fields in curved spacetimes; 3. Expectation values quadratic in fields; 4. Particle creation by black holes; 5. The one-loop effective action; 6. The effective action: non-gauge theories; 7. The effective action: gauge theories; Appendixes; References; Index.
£80.99
Cambridge University Press Supersymmetry in Particle Physics An Elementary Introduction
Book SynopsisIntended for graduates and researchers, this textbook, first published in 2007, provides a simple introduction to supersymmetry. This elementary, practical treatment places emphasis on physical understanding, and detailed derivations. Many short exercises are included, making for a valuable and accessible self-study tool.Trade Review'Any student or practising physicist who wants to learn about the phenomenological implications of TeV-scale supersymmetry without spending the time to master the more mathematical approaches to the subject would do well to acquire a copy of Supersymmetry in Particle Physics. It is a unique text that has value both on its own accord and as a supplement to larger and more comprehensive texts. This is indeed entry-level supersymmetry in its best and most practical sense.' Physics TodayTable of Contents1. Introduction and motivation; 2. Spinors: Weyl, Dirac and Majorana; 3. A simple supersymmetric Lagrangian, and a first glance at the MSSM; 4. The supersymmetry algebra and supermultiplets; 5. The Wess-Zumino model; 6. Superfields; 7. Vector (or gauge) supermultiplets; 8. The MSSM; 9. SUSY breaking; 10. The Higgs sector and electroweak symmetry breaking in the MSSM; 11. Sparticle masses in the MSSM; 12. Some simple tree-level calculations in the MSSM; References; Index.
£59.99
Cambridge University Press Classical Measurements in Curved SpaceTimes Cambridge Monographs on Mathematical Physics
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£136.11
Cambridge University Press The Monster Group and Majorana Involutions 176 Cambridge Tracts in Mathematics Series Number 176
Book SynopsisThe first book containing a rigorous construction and uniqueness proof for the largest and most famous sporadic simple group, the Monster. The author provides a systematic exposition of the theory of the Monster group, which so far remains largely unpublished, and explores the theory of groups generated by Majorana involutions.Trade Review'This book contains the basic knowledge on the Monster group in a very accessible way. some results are published in this book for the first time. Many are not even easily found in literature. Hence the book is a very good source for any group theorist who is interested in sporadic simple groups.' Zentralblatt MATHTable of ContentsPreface; 1. M24 and all that; 2. The Monster amalgam M; 3. 196 883-representation of M; 4. 2-local geometries; 5. Griess algebra; 6. Automorphisms of Griess algebra; 7. Important subgroups; 8. Majorana involutions; 9. The Monster graph; 10. Fischer's story; References; Index.
£111.00
Cambridge University Press Hamiltonian Mechanics of Gauge Systems
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£116.00
Cambridge University Press Group Theory
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£74.99
Cambridge University Press Notes on Hamiltonian Dynamical Systems
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£58.12
Cambridge University Press Notes on Hamiltonian Dynamical Systems
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£99.99
Cambridge University Press Noether Symmetries in Theories of Gravity
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£135.00
Cambridge University Press Gillespie Algorithms for Stochastic Multiagent Dynamics in Populations and Networks
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£21.54
Cambridge University Press A General Relativity Coursebook
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£58.12
Cambridge University Press A General Relativity Coursebook
Book SynopsisThis book provides a gentle introduction to general relativity, striking a balance between ease of use and precision. As a coursebook, it matches a one-semester undergraduate class perfectly, concentrating on subjects of relevance today. Numerate readers will learn to appreciate the power and beauty of Einstein's creation for themselves.Trade Review'The approach in the book is unique and especially valuable for the student first encountering General Relativity. It shows in detail the computational steps involved in gaining the main results.' Rainer Weiss, Massachusetts Institute of Technology'I think this is an excellent introduction to General Relativity and its important applications to cosmology and gravitational wave astrophysics for the serious student who has not experienced the necessary mathematical formalism before and who is willing to follow the text and attempt the many examples. It is an ideal lead in to many of the more sophisticated modern textbooks which are now available.' Prof. Sir James Hough, OBE FRS FRSETable of ContentsPreface; 1. The principle of equivalence; 2. Tensors; 3. Matter in space-time; 4. Geodesics; 5. Einstein's equations; 6. Schwarzschild's solution; 7. Cosmology; 8. Gravitational waves; 9. A guide to further reading; References; Index.
£28.47
Cambridge University Press QCD as a Theory of Hadrons
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£150.00
Cambridge University Press QCD as a Theory of Hadrons
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£58.12
Cambridge University Press Kinks and Domain Walls
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£75.00
Cambridge University Press Higher Dimensional Algebraic Geometry
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£69.34
Cambridge University Press Dynamics of Charged Particles and their Radiation Field
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£95.00
Cambridge University Press Nonequilibrium ManyBody Theory of Quantum Systems
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£64.59
Cambridge University Press Contextuality in Random Variables
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£152.00
Cambridge University Press The Theory of Hardys ZFunction 196 Cambridge Tracts in Mathematics Series Number 196
Book SynopsisHardy's Z-function, related to the Riemann zeta-function Î(s), was originally utilised by G. H. Hardy to show that Î(s) has infinitely many zeros of the form +it. It is now amongst the most important functions of analytic number theory, and the Riemann hypothesis, that all complex zeros lie on the line +it, is perhaps one of the best known and most important open problems in mathematics. Today Hardy's function has many applications; among others it is used for extensive calculations regarding the zeros of Î(s). This comprehensive account covers many aspects of Z(t), including the distribution of its zeros, Gram points, moments and Mellin transforms. It features an extensive bibliography and end-of-chapter notes containing comments, remarks and references. The book also provides many open problems to stimulate readers interested in further research.Table of Contents1. Definition of ζ(s), Z(t) and basic notions; 2. The zeros on the critical line; 3. The Selberg class of L-functions; 4. The approximate functional equations for ζk(s); 5. The derivatives of Z(t); 6. Gram points; 7. The moments of Hardy's function; 8. The primitive of Hardy's function; 9. The Mellin transforms of powers of Z(t); 10. Further results on Mk(s)$ and Zk(s); 11. On some problems involving Hardy's function and zeta moments; References; Index.
£111.00
Cambridge University Press Manifolds Tensors and Forms
Book SynopsisProviding a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. It features over 250 detailed exercises and discusses a variety of applications.Table of ContentsPreface; 1. Linear algebra; 2. Multilinear algebra; 3. Differentiation on manifolds; 4. Homotopy and de Rham cohomology; 5. Elementary homology theory; 6. Integration on manifolds; 7. Vector bundles; 8. Geometric manifolds; 9. The degree of a smooth map; Appendixes; References; Index.
£64.99
Cambridge University Press The Cosmological Singularity
Book SynopsisWritten for researchers focusing on general relativity, supergravity, and cosmology, this is a self-contained exposition of the structure of the cosmological singularity in generic solutions of the Einstein equations, and an up-to-date mathematical derivation of the theory underlying the BelinskiKhalatnikovLifshitz conjecture on this area of research.Trade Review'The present monograph is a carefully developed overview about the mathematical details of the big bang singularity, mainly within (but not restricted to) general relativity theory. Chapter 1 presents the basic structure of the singularity, including the Kasner-like and the oscillatory-like cases. Chapters 2 and 3 deal with the Bianchi models, especially the BLK-cases Bianchi VIII and IX and the chaotic character observed there. In chapter 4, the influence of matter and/or changed space-time dimension are discussed. Chapters 5 and 6 deal with the billiard representation of the dynamical system describing the approach to the singularity by a mathematical equivalence of the system of equations to the motion of a point particle in a region with boundary, where (like in the billiard game), the article is reflected at the boundary. This idea is formalized in chapter 7 by the introduction of the Coxeter group. The appendices are useful for several topics, e.g., the spinor field and the Kac-Moody algebra.' Hans-Jürgen Schmidt, Zentralblatt MATH'This monograph discusses at length the structure of the general solution of the Einstein equations with a cosmological singularity in Einstein-matter systems in four and higher space-time dimensions, starting from the fundamental work of Belinski (the book's lead author), Khalatnikov and Lifshitz (BKL) - published in 1969. … Quite technical and advanced, this book is meant for theoretical and mathematical physicists working on general relativity, supergravity and cosmology.' CERN CourierTable of ContentsPreface; 1. Introduction and outline; Part I. BKL Analysis: 2. Basic structure of cosmological singularity; 3. Homogeneous cosmological models; 4. On the cosmological chaos; 5. On the Inuence of matter and spacetime dimension; Part II. Cosmological Billiards: 6. The billiard of four-dimensional vacuum gravity; 7. General Cosmological Billiards; 8. Hyperbolic Coxeter groups; Appendix A. Various technical derivations; Appendix B. Homogeneous spaces and Bianchi classification; Appendix C. Spinor field; Appendix D. Lorentzian Kac-Moody algebras; References; Index.
£137.00
Cambridge University Press Factorization Algebras in Quantum Field Theory Volume 1 31 New Mathematical Monographs Series Number 31
Book SynopsisIdeal for researchers and graduates in mathematics and physics, this volume develops factorization algebras while highlighting examples exhibiting their use in field theory, such as the recovery of a vertex algebra from a chiral conformal field theory. This first volume also includes expositions of the relevant background in homological algebra, sheaves and functional analysis.Trade Review'Because the subject of this book touches many advanced leading theories of quantum physics which utilize heavily mathematical machineries from a diverse range of mathematical topics, the background material needed for this book is immense. So it is very helpful and much appreciated that a 103-page four-section appendix is included in this 387-page book, to provide a very well-organized and fairly detailed review of relevant mathematical background topics, including simplicial techniques, colored operads/multicategories and their algebras, differential graded (dg) Lie algebras and their cohomology, sheaves/cosheaves, formal Hodge theory, and 'convenient, differentiable, or bornological' topological vector spaces facilitating the homological algebra for infinite-dimensional vector spaces.' Albert Sheu, Zentralblatt MATH'It is a truth universally acknowledged that one cannot make two independent measurements at the very same place and very same time. In this book full of wit, Costello and Gwilliam show what can actually be done by taking this common lore seriously. … Reading this book requires minimal prerequisites: essentially only the basic notions of topology, of differential geometry, of homological algebra and of category theory will be needed, while all other background material … is provided in the four appendices that take up about one third of the book. Yet some familiarity with the subject is needed to really appreciate it. The reader who has even occasionally been close to the interface between algebraic topology, derived geometry and quantum field theory will enjoy many pleasant moments with Costello and Gwilliam and will find many sources of enlightenment … in their treatment of the subject.' Domenico Fiorenza, Mathematical ReviewsTable of Contents1. Introduction; Part I. Prefactorization Algebras: 2. From Gaussian measures to factorization algebras; 3. Prefactorization algebras and basic examples; Part II. First Examples of Field Theories: 4. Free field theories; 5. Holomorphic field theories and vertex algebras; Part III. Factorization Algebras: 6. Factorization algebras - definitions and constructions; 7. Formal aspects of factorization algebras; 8. Factorization algebras - examples; Appendix A. Background; Appendix B. Functional analysis; Appendix C. Homological algebra in differentiable vector spaces; Appendix D. The Atiyah–Bott Lemma; References; Index.
£134.00
Cambridge University Press Theory of Simple Glasses
Book SynopsisThis pedagogical and self-contained text describes the modern mean field theory of simple structural glasses. The book begins with a thorough explanation of infinite-dimensional models in statistical physics, before reviewing the key elements of the thermodynamic theory of liquids and the dynamical properties of liquids and glasses. The central feature of the mean field theory of disordered systems, the existence of a large multiplicity of metastable states, is then introduced. The replica method is then covered, before the final chapters describe important, advanced topics such as Gardner transitions, complexity, packing spheres in large dimensions, the jamming transition, and the rheology of glass. Presenting the theory in a clear and pedagogical style, this is an excellent resource for researchers and graduate students working in condensed matter physics and statistical mechanics.Trade Review'In this advanced textbook, the authors, all solid-state physicists, present a theory of simple glasses, defined as collections of interacting point particles. The approach, based on statistical mechanics and concepts of multiple-state metastability, is rigorous and educational. Derivations are careful and detailed … An especially useful and educational feature is that each chapter includes a résumé of main results and an annotated short bibliography geared to beginning students. An extensive, up-to-date bibliography at the end mainly draws from the Physical Review literature and related journals. Minimally indexed (no entries on shear stress or strain, viscosity, temperature, or spheres), the book is oriented toward advanced undergraduates or beginning graduate students (who will need preparation in statistical mechanics and liquid theory) and researchers in glasses, essentially addressing the solid-state physics and statistical mechanics communities.' J. Lambropoulos, ChoiceTable of ContentsPreface; 1. Infinite-dimensional models in statistical physics; 2. Atomic liquids in infinite dimensions: thermodynamics; 3. Atomic liquids in infinite dimensions: equilibrium dynamics; 4. Thermodynamics of glass states; 5. Replica symmetry breaking and hierarchical free energy landscapes; 6. The Gardner transition; 7. Counting glass states: the complexity; 8. Packing spheres in large dimensions; 9. The jamming transition; 10. Rheology of the glass; References; Index.
£69.99
Cambridge University Press Relativistic Figures of Equilibrium
Book SynopsisTreating the classical problem of gravitational physics, this book presents basic principles, deals with analytically tractable limiting cases, and considers the general case using powerful numerical methods. A valuable reference for researchers in general relativity, mathematical physics and astrophysics, it is accompanied by a website containing code.Trade ReviewReview of the hardback: '… this book is a very valuable tool for anybody wishing to learn more about relativistic rotating bodies in equilibrium. … overall it is an excellent reference on this topic.' Classical and Quantum GravityReview of the hardback: 'This is an advanced and specialised book, presenting the state of the art in this field, with emphasis on the authors' own expertise and approaches. It contains an extensive discussion of the analytical handling of limiting cases on the one hand and the numerical treatment of the general case on the other, thus providing a complete picture of the subject. … pleasant to read …This book is a standard reference for this subject every researcher in relativity theory should know.' General Relativity and GravitationReview of the hardback: 'Nicely produced by Cambridge University Press, this rather specialized book rich in analytical and numerical methods is of value to students and professional researchers in general relativity, mathematical physics and astrophysics.' Mathematical ReviewsTable of ContentsPreface; Notation; 1. Rotating fluid bodies in equilibrium: fundamental notions and equations; 2. Analytical treatment of limiting cases; 3. Numerical treatment of the general case; 4. Remarks on stability and astrophysical relevance; Appendixes; References; Index.
£51.21
Cambridge University Press, India Experiment and Theory in Physics
Book SynopsisOriginally published in 1943, this book presents an expanded version of an address given by Max Born gave to the Durham Philosophical Society and the Pure Science Society. The text provides an examination of the mutual relationship between theory and experiment in the development of physics.
£11.66
Cambridge University Press Mathematical and Physical Papers Volume 1
Book SynopsisThis collection brings together in six volumes the published articles of the eminent mathematical physicist and engineer William Thomson, first Baron Kelvin (18241907). Topics covered include heat, electricity, magnetism and electrotelegraphy, hydrodynamics, tidal theory and navigation.Table of Contents; .
£57.13
Cambridge University Press Lectures on Quantum Mechanics
Book SynopsisQuantum mechanics is one of the principle pillars of modern physics. It also remains a topic of great interest to mathematicians. Since its discovery it has inspired and been inspired by many topics within modern mathematics, including functional analysis and operator algebras, Lie groups, Lie algebras and their representations, principle bundles, distribution theory, and much more. Written with beginning graduate students in mathematics in mind, this book provides a thorough treatment of (nonrelativistic) quantum mechanics in a style that is leisurely, without the usual theorem-proof grammar of pure mathematics, while remaining mathematically honest. The author takes the time to fully develop the required mathematics and employs a consistent mathematical presentation to clarify the often-confusing notation of physics texts. Along the way the reader encounters several topics requiring more advanced mathematics than found in many discussions of the subject, making for a fascinating courTrade Review'Quantum mechanics lies at the foundation of science, as well as inspiring a great deal of mathematics. Lectures on Quantum Mechanics provides mathematicians and mathematics students with a very readable exposition of the subject, including the mathematical clarity missing from the physics textbooks.' Peter Woit, Columbia University'The author of this non-traditional textbook for mathematicians explains carefully how mathematical concepts can be used to encode physical content of quantum mechanics. The topics are very well chosen and ordered. All chapters are mostly independent, allowing readers to get to the heart of the subject quickly and nonlinearly.' Phan Thành Nam, LMU Munich'… this is a useful text that integrates mathematics and quantum mechanics, one that promises to help first-year graduate students ready themselves for advanced research. Recommended.' M. O. Farooq, ChoiceTable of ContentsPreface; Prolegomenon; 1. The Harmonic Oscillator: Classical verses Quantum; 2. The Mathematical Structure of Quantum Mechanics; 3. Observables and Expectation Values; 4. The Projection Postulate Examined; 5. Rigged Hilbert Space and the Dirac Calculus; 6. A Review of Classical Mechanics; 7. Hamilton-Jacobi Theory *; 8. Classical Mechanics Regain'd; 9. Wave Mechanics I: Heisenberg Uncertainty; 10. Wave Mechanics II: The Fourier Transform; 11. Wave Mechanics III: The Quantum Oscillator; 12. Angular Momentum I: Basics; 13. Angular Momentum II: Representations of su(2); 14. Angular Momentum III: The Central Force Problem; 15. Wave Mechanics IV: The Hydrogenic Potential; 16. Wave Mechanics V: Hidden Symmetry Revealed; 17. Wave Mechanics VI: Hidden Symmetry Solved; 18. Angular Momentum IV: Addition Rules and Spin; 19. Wave Mechanics VII: Pauli's Spinor Theory; 20. Clifford Algebras and Spin Representations *; 21. Many-Particle Quantum Systems; 22. The EPR Argument and Bell's Inequalities; 23. Ensembles and Density Operators; 24. Bosons and Fermions; 25. The Fock Space for Indistinguishable Quanta; 26. An Introduction to Quantum Statistical Mechanics; 27. Quantum Dynamics; 28. Unitary Representations and Conservation Laws; 29. The Feynman Formulation of Quantum Mechanics; 30. A Mathematical Interlude: Gaussian Integrals; 31. Evaluating Path Integrals I; 32. Evaluating Path Integrals II; Epilogue; Resources for Individual Exploration; Bibliography; Index.
£71.99
Cambridge University Press Field Theory of NonEquilibrium Systems
Book SynopsisThis book provides a detailed presentation of modern non-equilibrium field-theoretical methods, applied to examples ranging from biophysics to the kinetics of superfluids and superconductors. Suitable for graduate students and researchers in condensed matter physics, this new edition includes updated content and problems throughout.Trade ReviewPraise for the first edition 'Field Theory of Non-Equilibrium Systems, written by theoretical condensed-matter physicist Alex Kamenev, is a lively pedagogical exposition of the Keldysh technique based on functional integration … It is meant for advanced graduate students and professionals who have not had prior exposure to the technique but would like to learn it. Experts in the field may also enjoy the diversity of the subjects covered and the clarity with which they are presented. Thanks to those features, Field Theory of Non-Equilibrium Systems is a welcome introduction to the field and could well become a classic.' Vojkan Jaksic, Physics TodayTable of Contents1. Introduction; Part I. Systems with Few Degrees of Freedom: 2. Bosons; 3. Single-particle quantum mechanics; 4. Classical stochastic systems; 5. Driven-dissipative systems; Part II. Bosonic and Classical Fields: 6. Bosonic fields; 7. Dynamics of collisionless plasma; 8. Kinetics of Bose condensates; 9. Dynamics of phase transitions; Part III. Fermions: 10. Fermions; 11. Kinetic theory and hydrodynamics; 12. Aspects of kinetic theory; 13. Quantum transport; Part IV. Disordered Metals and Superconductors: 14. Disordered fermionic systems; 15. Mesoscopic effects; 16. Electron–electron interactions in disordered metals; 17. Dynamics of disordered superconductors; 18. Electron–phonon interactions; References; Index.
£69.99
Cambridge University Press Advanced Topics in Quantum Mechanics
Quantum mechanics is one of the most successful theories in science, and is relevant to nearly all modern topics of scientific research. This textbook moves beyond the introductory and intermediate principles of quantum mechanics frequently covered in undergraduate and graduate courses, presenting in-depth coverage of many more exciting and advanced topics. The author provides a clearly structured text for advanced students, graduates and researchers looking to deepen their knowledge of theoretical quantum mechanics. The book opens with a brief introduction covering key concepts and mathematical tools, followed by a detailed description of the WentzelKramersBrillouin (WKB) method. Two alternative formulations of quantum mechanics are then presented: Wigner''s phase space formulation and Feynman''s path integral formulation. The text concludes with a chapter examining metastable states and resonances. Step-by-step derivations, worked examples and physical applications are included throu
£54.99
Cambridge University Press Classical and Quantum Statistical Physics
Statistical physics examines the collective properties of large ensembles of particles, and is a powerful theoretical tool with important applications across many different scientific disciplines. This book provides a detailed introduction to classical and quantum statistical physics, including links to topics at the frontiers of current research. The first part of the book introduces classical ensembles, provides an extensive review of quantum mechanics, and explains how their combination leads directly to the theory of Bose and Fermi gases. This allows a detailed analysis of the quantum properties of matter, and introduces the exotic features of vacuum fluctuations. The second part discusses more advanced topics such as the two-dimensional Ising model and quantum spin chains. This modern text is ideal for advanced undergraduate and graduate students interested in the role of statistical physics in current research. 140 homework problems reinforce key concepts and further develop read
£54.99
Cambridge University Press Problems in Quantum Field Theory
Book SynopsisThis collection of problems in Quantum Field Theory, accompanied by their complete solutions, aims to bridge the gap between learning the foundational principles and applying them practically. The carefully chosen problems cover a wide range of topics, starting from the foundations of Quantum Field Theory and the traditional methods in perturbation theory, such as LSZ reduction formulas, Feynman diagrams and renormalization. Separate chapters are devoted to functional methods (bosonic and fermionic path integrals; worldline formalism), to non-Abelian gauge theories (Yang-Mills theory, Quantum Chromodynamics), to the novel techniques for calculating scattering amplitudes and to quantum field theory at finite temperature (including its formulation on the lattice, and extensions to systems out of equilibrium). The problems range from those dealing with QFT formalism itself to problems addressing specific questions of phenomenological relevance, and they span a broad range in difficulty, for graduate students taking their first or second course in QFT.Trade Review'… a valuable bridge between textbook treatments and the modern literature and is an example of the type of volume often reported to be missing from the shelves. Libraries that serve universities teaching quantum field theory, or any institution with active research programs involving quantum field theory, should acquire this book ... Recommended.' M. C. Ogilvie, Choice ConnectTable of ContentsPreface; Acknowledgements; Notations and Conventions; Part I. Quantum Field Theory Basics; Part II. Functional Methods; Part III. Non-Abelian Fields; Part IV. Scattering Amplitudes; Part V. Lattice, Finite T, Strong Fields; Index.
£49.23
