Quantum physics Books
Cambridge University Press The Quantum Theory of Fields
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£110.20
Cambridge University Press The New Quantum Universe
Book SynopsisFollowing the success of The Quantum Universe, first published in 1987, a host of exciting new discoveries have been made in the field of quantum mechanics. The New Quantum Universe provides an up-to-date and accessible introduction to the essential ideas of quantum physics, and demonstrates how it affects our everyday life. Quantum mechanics gives an understanding of not only atoms and nuclei, but also all the elements and even the stars. The book explains quantum paradoxes and the eventful life of Schroedinger's Cat, along with the EinsteinâPodolskyâRosen paradox and Bell's Inequality. It then looks ahead to the nanotechnology revolution, describing quantum cryptography, quantum computing and quantum teleportation, and ends with an account of quantum mechanics and science fiction. Using simple non-mathematical language, this book is suitable for final-year school students, science undergraduates, and anyone wishing to appreciate how physics allows the new technologies that are changTrade ReviewFrom reviews of the first edition: 'The Quantum Universe has a quotation from me in every chapter - but it's a damn good book anyway.' Richard P. Feynman'A lively, informative read, beautifully illustrated, about the most powerful scientific theory known to mankind.' P. C. W. Davies'… a pleasure to both the mind and eye.' Science'This book will amaze, baffle and delight …'. Nature'If you want a 'way in' to the most successful and wide-ranging theory devised by human ingenuity, read The Quantum Universe.' New Scientist'If one is after a very readable, insightful and inspiring guide to the theory underpinning the 'quantum age', there is no need to look any further.' Chemistry World'The book The New Quantum Universe by Hey and Walters … is an excellent semi-popular account of the quantum world. … personal profiles of people who have significantly contributed to this subject is frequently emphasized which I think is not only very entertaining but also very educational. … I found it very clearly and engagingly written. … I wholeheartedly recommend this book to all physicists. I also recommend it without reservation to all those interested in knowing why 'quantum' has become such a cool word recently, so much so that we now have quantum psychology, quantum healing, quantum evolution, quantum cleaning, quantum leaps, quantum car repair shops and a myriad of other uses and abuses of the ubiquitous word.' Contemporary Physics'This book provides an extremely comprehensible introduction to the essential ideas of quantum physics. … the revised and updated version of the highly successful first edition, titled The Quantum Universe … They write with a rare clarity and vigour and give thorough explanations and examples. … Overall, this book makes an excellent introduction to the field for non-specialists and enjoyable leisure reading for scientists and engineers … I can only warmly recommend this book for all those who are interested in quantum effects.' Optics and PhotonicsTable of ContentsPreface; 1. Waves versus particles; 2. Heisenberg and uncertainty; 3. Schroedinger and matter waves; 4. Atoms and nuclei; 5. Quantum tunnelling; 6. Pauli and the elements; 7. Quantum co-operation and superfluids; 8. Quantum jumps; 9. Quantum engineering; 10. Death of a star; 11. Feynman rules; 12. Weak photons and strong glue; 13. Afterword - quantum physics and science fiction; Epilogue; Appendices.
£36.09
Cambridge University Press Relativistic Quantum Mechanics
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£75.99
Cambridge University Press An Introduction to Quantum Theory
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£166.25
Cambridge University Press An Introduction to Quantum Theory
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£69.34
Cambridge University Press Problems and Solutions in Quantum Mechanics
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£59.84
Cambridge University Press The Interpretation of Quantum Mechanics and the Measurement Process
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£40.84
Cambridge University Press Quantum State Diffusion
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£75.05
Cambridge University Press Quantum Reflections
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£75.04
Cambridge University Press Wave Motion
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£99.75
Cambridge University Press Wave Motion Paperback Cambridge Tex ts in Applied Math emat ics
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£54.14
Cambridge University Press Duality and Supersymmetric Theories
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£133.95
Cambridge University Press The Strange World of Quantum Mechanics
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£115.90
Cambridge University Press Strange World of Quantum Mechanics
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£45.59
Cambridge University Press String Theory Vol 1 Cambridge Monographs on Mathematical Physics An Introduction to the Bosonic String
Book SynopsisString Theory comprises two volumes which give a comprehensive and pedagogic account of the subject. Volume 1, first published in 1998, provides a thorough introduction to the bosonic string. The first four chapters introduce the central ideas of string theory, the tools of conformal field theory and of the Polyakov path integral, and the covariant quantization of the string. The next three chapters treat string interactions: the general formalism, and detailed treatments of the tree level and one loop amplitudes. Chapter eight covers toroidal compactification and many important aspects of string physics, such as T-duality and D-branes. Chapter nine treats higher-order amplitudes, including an analysis of their finiteness and unitarity, and various nonperturbative ideas. An appendix giving a short course on path integral methods is included. This is an essential text and reference for graduate students and researchers interested in modern superstring theory.Trade Review'… this is an impressive book. It is notable for its consistent line of development and the clarity and insight with which topics are treated … It is hard to think of a better text in an advanced graduate area, and it is rare to have one written by a master of the subject. It is worth pointing out that the book also contains a collection of useful problems, a glossary, and an unusually complete index.' Physics Today'… the most comprehensive text addressing the discoveries of the superstring revolutions of the early to mid 1990s, which mark the beginnings of 'modern' string theory.' Donald Marolf, American Journal of Physics'Physicists believe that the best hope for a fundamental theory of nature - including unification of quantum mechanics with general relativity and elementary particle theory - lies in string theory. This elegant mathematical physics subject is expounded by Joseph Polchinski in two volumes from Cambridge University Press … Written for advanced students and researchers, this set provides thorough and up-to-date knowledge.' American Scientist'We would like to stress the pedagogical value of the present book. The approach taken is modern and pleasantly systematic, and it covers a broad class of results in a unified language. A set of exercises at the end of each chapter complements the discussions in the main text. On the other hand, the introduction of techniques and concepts essential in the context of superstrings makes it a useful reference for researchers in the field.' Mathematical Reviews'It amply fulfils the need to inspire future string theorists on their long slog and is destined to become a classic. It is a truly exciting enterprise and one hugely served by this magnificent book.' David Bailin, The Times Higher Education SupplementTable of ContentsForeword; Preface; Notation; 1. A first look at strings; 2. Conformal field theory; 3. The Polyakov path integral; 4. The string spectrum; 5. The string S-matrix; 6. Tree-level amplitudes; 7. One-loop amplitudes; 8. Toroidal compactification and T-duality; 9. Higher order amplitudes; Appendix A: a short course on path integrals; References; Glossary; Index.
£52.24
Cambridge University Press Special Relativity From Einstein to Strings
Book SynopsisA thorough and pedagogical introduction to special relativity suitable for anyone with a minimum of one year's university physics with calculus. It uses the most up to date formalism, and includes advanced topics such as higher dimensions, supersymmetry and string theory, making them accessible to the undergaduate physicist or engineer.Trade Review'This well-written book will be extremely helpful for physics students who wish to go beyond what is most commonly taught and to delve more deeply into special relativity, for its own sake or as a starting point for understanding general relativity and gravitation. The authors treat many modern topics in addition to the classical material.' Professor Edward Witten, rinceton Institute for Advanced Study'Patricia and John Schwarz have created an elegant book that uses special relativity to organize a sophisticated discussion of Maxwell theory, differential geometry, symmetry, and field dynamics. This book will reveal to the student the powerful tools that enhance our comprehension of physical theories.' Professor Barton Zwiebach, Massachusetts Institute of Technology' … the book is well structured and organized, each treatment of a particular topic flowing nicely into the next … this is an ideal book for anyone wishing to obtain a good grounding in special relativity …'. Mathematics Today'What is particularly commendable is the hands-on exercises in the earlier chapters that try to instil an intuitive feeling for the difficult concepts. … This book is ambitious in its scope to introduce concepts from differential geometry to a wide audience including second year undergraduates. … The book is particularly readable and anyone keen on being introduced to the concepts that have been influenced by special relativity will find this valuable.' Contemporary PhysicsTable of ContentsPreface; Part I. Fundamentals: 1. From Pythagoras to spacetime geometry; 2. Light surprises everyone; 3. Elements of spacetime geometry; 4. Mechanics in spacetime; 5. Spacetime physics of fields; 6. Causality and relativity; Part II. Advanced Topics: 7. When quantum mechanics and relativity collide; 8. Group theory and relativity; 9. Supersymmetry and superspace; 10. Looking onward; Appendix 1. Where do equations of motion come from?; Appendix 2. Basic group theory; Appendix 3. Lie groups and Lie algebras; Appendix 4. The structure of super Lie algebras; References; Index.
£64.59
Cambridge University Press Fundamentals of Quantum Mechanics
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£46.54
Cambridge University Press Introduction to Quantum Optics From Light Quanta to Quantum Teleportation
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£65.54
Cambridge University Press Problems and Solutions in Quantum Mechanics
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£94.05
Cambridge University Press Modern Quantum Field Theory A Concise Introduction
Book SynopsisPresenting a variety of topics that are only briefly touched on in other texts, this book provides a thorough introduction to the techniques of field theory. Covering Feynman diagrams and path integrals, the author emphasizes the path integral approach, the Wilsonian approach to renormalization, and the physics of non-abelian gauge theory. It provides a thorough treatment of quark confinement and chiral symmetry breaking, topics not usually covered in other texts at this level. The Standard Model of particle physics is discussed in detail. Connections with condensed matter physics are explored, and there is a brief, but detailed, treatment of non-perturbative semi-classical methods. Ideal for graduate students in high energy physics and condensed matter physics, the book contains many problems,which help students practise the key techniques of quantum field theory.Trade Review'… an excellent textbook for a first encounter with quantum field theory and an essential reference for senior physicists. It presents the topic from a modern and streamlined perspective with beautiful and fresh explanations and clarifies many common misconceptions … Thomas Banks is one of the deepest theoretical physicists and one of the best teachers in the field.' Nathan Seiberg, Princeton University'After reading this book, I'll never teach field theory in the same way again. Banks provides a modern, insightful treatment of the basic structure of quantum field theory, including anomalies, solitons and instantons. Perhaps most remarkable is his treatment of renormalization and the renormalization group, which … succeeds in presenting the conceptual framework … while providing the reader with the tools necessary for practical calculations.' Michael Dine, University of California, Santa Cruz'… very approachable …' The Observatory'Modern Quantum Field Theory: A Concise Introduction is a very ambitious and in many respects successful book. … Particularly appreciated was the modern treatment of the theory of renormalization, presenting the subject in a far more physical manner than many textbooks … the reader who takes time to make a full study of it will end up better and more deeply informed than they will from a study of most other introductory texts on the subject.' The ObservatoryTable of Contents1. Introduction; 2. Quantum theory of free scalar fields; 3. Interacting field theory; 4. Particles of spin one, and gauge invariance; 5. Spin 1/2 particles and Fermi statistics; 6. Massive quantum electrodynamics; 7. Symmetries, Ward identities and Nambu Goldstone bosons; 8. Non-abelian gauge theory; 9. Renormalization and effective field theory; 10. Instantons and solitons; 11. Concluding remarks; Appendices; References; Index.
£38.94
Cambridge University Press Quantum Mechanics
Book SynopsisA strong narrative and over 300 worked problems and proofs lead the student from experiment, through general principles of the theory, to modern applications. Advanced undergraduate and graduate students will benefit from this perspective on the fundamental physical paradigm and its applications.Trade Review'A truly original treatment that towers over most of its competitors and makes many of them look pedestrian. Auletta, Fortunato and Parisi's handsomely produced book will benefit thousands of students and has the potential to rekindle the passion of many teachers who have taught quantum mechanics for so long that they yawn even at the thought of teaching it again. This is the freshest new treatment of a well-established branch of physics I have read for more than a decade, as far away as I can imagine from being 'yet another book on quantum mechanics'.' The Times Higher Education SupplementTable of ContentsIntroduction; Part I. Basic Features of Quantum Mechanics: 1. From classical mechanics to quantum mechanics; 2. Quantum observable and states; 3. Quantum dynamics; 4. Examples of quantum dynamics; 5. Density matrix; Part II. More Advanced Topics: 6. Angular momentum and spin; 7. Identical particles; 8. Symmetries and conservation laws; 9. The measurement problem; Part III. Matter and Light: 10. Perturbations and approximation methods; 11. Hydrogen and helium atoms; 12. Hydrogen molecular ion; 13. Quantum optics; Part IV. Quantum Information: State and Correlations: 14. Quantum theory of open systems; 15. State measurement in quantum mechanics; 16. Entanglement: non-separability; 17. Entanglement: quantum information; References; Index.
£69.34
Cambridge University Press Hamiltonian Mechanics of Gauge Systems
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£110.20
Cambridge University Press Quantum Mechanics for Scientists and Engineers Classroom Resource Materials
Book SynopsisIf you need a book that relates the core principles of quantum mechanics to modern applications in engineering, physics, and nanotechnology, this is it. Students will appreciate the book''s applied emphasis, which illustrates theoretical concepts with examples of nanostructured materials, optics, and semiconductor devices. The many worked examples and more than 160 homework problems help students to problem solve and to practise applications of theory. Without assuming a prior knowledge of high-level physics or classical mechanics, the text introduces Schrödinger''s equation, operators, and approximation methods. Systems, including the hydrogen atom and crystalline materials, are analyzed in detail. More advanced subjects, such as density matrices, quantum optics, and quantum information, are also covered. Practical applications and algorithms for the computational analysis of simple structures make this an ideal introduction to quantum mechanics for students of engineering, physics, nTrade Review'This is an excellent introductory-level textbook on quantum mechanics for physicists and engineers. … The author is a leading expert in quantum devices and he writes the text with remarkable clarity and authority. It is highly recommended.' Shun-Lien Chuang, University of Illinois'I think this is an excellent book. It will become my standard reference for text for quantum mechanics and I will expect to see it on the shelves of my PhD students as well as undergraduate students. If students want to find one book that that will serve as both an introductory and future reference text on quantum mechanics, condensed matter and quantum optics they should buy this one.' Gareth Parry, Imperial College LondonTable of ContentsHow to use this book; 1. Introduction; 2. Waves and quantum mechanics – Schrödinger's equation; 3. The time-dependent Schrödinger equation; 4. Functions and operators; 5. Operators and quantum mechanics; 6. Approximation methods in quantum mechanics; 7. Time-dependent perturbation theory; 8. Quantum mechanics in crystalline materials; 9. Angular momentum; 10. The hydrogen atom; 11. Methods for one-dimensional problems; 12. Spin; 13. Identical particles; 14. The density matrix; 15. Harmonic oscillators and photons; 16. Fermion operators; 17. Interaction of different kinds of particles; 18. Quantum information; 19. Interpretation of quantum mechanics; Appendices: A. Background mathematics; B. Background physics; C. Vector calculus; D. Maxwell's equations and electromagnetism; E. Perturbing Hamiltonian for optical absorption; F. Early history of quantum mechanics; G. Some useful mathematical formulae; H. Greek alphabet; I. Fundamental constants; Bibliography; Memorization list.
£85.49
Cambridge University Press Philosophy of Quantum Information and Entanglement
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£117.19
Cambridge University Press Special Relativity
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£33.24
Cambridge University Press Quantum Models of Cognition and Decision
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£33.24
Cambridge University Press Philosophy of Particle Physics
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£17.00
Cambridge University Press Mathematics of Quantization and Quantum Fields
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£128.25
Cambridge University Press Mathematics of Quantization and Quantum Fields
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£42.74
Cambridge University Press Advanced Concepts in Particle and Field Theory
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£37.04
Cambridge University Press Advanced Concepts in Particle and Field Theory
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£109.25
Cambridge University Press Contextual Reinterpretation of Quantum Nonlocality
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£112.50
Cambridge University Press Compact Matrix Quantum Groups and Their Combinatorics
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£37.99
Cambridge University Press Compact Matrix Quantum Groups and Their Combinatorics
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£94.99
Cambridge University Press Contemporary Quantum Mechanics in Practice
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£66.49
Cambridge University Press Introduction to Quantum Fields on a Lattice
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£80.75
Cambridge University Press Building Quantum Computers
Book Synopsis
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Cambridge University Press Decoherence and Quantum Darwinism
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£121.50
Cambridge University Press Quantum Mechanics Volume 3
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£80.74
Cambridge University Press Introduction to Topological Quantum Computation
Book SynopsisCombining physics, mathematics and computer science, topological quantum computation is a rapidly expanding research area focused on the exploration of quantum evolutions that are immune to errors. In this book, the author presents a variety of different topics developed together for the first time, forming an excellent introduction to topological quantum computation. The makings of anyonic systems, their properties and their computational power are presented in a pedagogical way. Relevant calculations are fully explained, and numerous worked examples and exercises support and aid understanding. Special emphasis is given to the motivation and physical intuition behind every mathematical concept. Demystifying difficult topics by using accessible language, this book has broad appeal and is ideal for graduate students and researchers from various disciplines who want to get into this new and exciting research field.Table of ContentsPart I. Preliminaries: 1. Introduction; 2. Geometric and topological phases; 3. Quantum computation; 4. Computational power of anyons; Part II. Topological Models: 5. Quantum double models; 6. Kitaev's honeycomb lattice model; 7. Chern–Simons quantum field theories; Part III. Quantum Information Perspectives: 8. The Jones polynomial algorithm; 9. Topological entanglement entropy; 10. Outlook; Index.
£52.24
Cambridge University Press Quantum Effects in Biology
Book SynopsisQuantum mechanics provides the most accurate microscopic description of the world around us, yet the interface between quantum mechanics and biology is only now being explored. This book uses a combination of experiment and theory to examine areas of biology believed to be strongly influenced by manifestly quantum phenomena. Covering subjects ranging from coherent energy transfer in photosynthetic light harvesting to spin coherence in the avian compass and the problem of molecular recognition in olfaction, the book is ideal for advanced undergraduate and graduate students in physics, biology and chemistry seeking to understand the applications of quantum mechanics to biology.Trade Review'… wonderful …' The Times Higher Education Supplement'Having previously thoroughly enjoyed reading two books relating to quantum biology, I was delighted to review this book.' Stephen Hoskins, The BiologistTable of ContentsList of contributors; Preface; Part I. Introduction: 1. Quantum biology: introduction Graham R. Fleming and Gregory D. Scholes; 2. Open quantum system approaches to biological systems Alireza Shabani, Masoud Mohseni, Seogjoo Jang, Akihito Ishizaki, Martin Plenio, Patrick Rebentrost, Alàn Aspuru-Guzik, Jianshu Cao, Seth Lloyd and Robert Silbey; 3. Generalized Förster resonance energy transfer Seogjoo Jang, Hoda Hossein-Nejad and Gregory D. Scholes; 4. Multidimensional electronic spectroscopy Tomáš Mančal; Part II. Quantum Effects in Bacterial Photosynthetic Energy Transfer: 5. Structure, function, and quantum dynamics of pigment protein complexes Ioan Kosztin and Klaus Schulten; 6. Direct observation of quantum coherence Gregory S. Engel; 7. Environment-assisted quantum transport Masoud Mohseni, Alàn Aspuru-Guzik, Patrick Rebentrost, Alireza Shabani, Seth Lloyd, Susana F. Huelga and Martin B. Plenio; Part III. Quantum Effects in Higher Organisms and Applications: 8. Excitation energy transfer in higher plants Elisabet Romero, Vladimir I. Novoderezhkin and Rienk van Grondelle; 9. Electron transfer in proteins Spiros S. Skourtis; 10. A chemical compass for bird navigation Ilia A. Solov'yov, Thorsten Ritz, Klaus Schulten and Peter J. Hore; 11. Quantum biology of retinal Klaus Schulten and Shigehiko Hayashi; 12. Quantum vibrational effects on sense of smell A. M. Stoneham, L. Turin, J. C. Brookes and A. P. Horsfield; 13. A perspective on possible manifestations of entanglement in biological systems Hans J. Briegel and Sandu Popescu; 14. Design and applications of bio-inspired quantum materials Mohan Sarovar, Dörthe M. Eisele and K. Birgitta Whaley; 15. Coherent excitons in carbon nanotubes Leonas Valkunas and Darius Abramavicius; Glossary; References; Index.
£128.25
Cambridge University Press Quantum Social Science
Book SynopsisWritten by world experts in the foundations of quantum mechanics, this book shows how elementary quantum mechanical principles can be applied to social sciences problems. Aimed at economists and psychologists, as well as physicists, it explores the exciting field of quantum social science.Trade Review'… the text is well-written and presents all lines of thought with mathematical rigour. It features end-of-chapter references to scientific publications and a glossary to help define the terminology.' Manuel Vogel, Contemporary PhysicsTable of ContentsPreface; Part I. Physics Concepts in Social Science? A Discussion: 1. Classical, statistical and quantum mechanics: all in one; 2. Econophysics: statistical physics and social science; 3. Quantum social science: a non-mathematical motivation; Part II. Mathematics and Physics Preliminaries: 4. Vector calculus and other mathematical preliminaries; 5. Basic elements of quantum mechanics; 6. Basic elements of Bohmian mechanics; Part III. Quantum Probabilistic Effects in Psychology: Basic Questions and Answers: 7. A brief overview; 8. Interference effects in psychology - an introduction; 9. A quantum-like model of decision making; Part IV. Other Quantum Probabilistic Effects in Economics, Finance and Brain Sciences: 10. Financial/economic theory in crisis; 11. Bohmian mechanics in finance and economics; 12. The Bohm–Vigier Model and path simulation; 13. Other applications to economic/financial theory; 14. The neurophysiological sources of quantum-like processing in the brain; Conclusion; Glossary; Index.
£118.75
Cambridge University Press Quantum Mechanics An Experimentalists Approach
Book SynopsisEugene D. Commins takes an experimentalist's approach to quantum mechanics, preferring to use concrete physical explanations over formal, abstract descriptions to address the needs and interests of a diverse group of students. Keeping physics at the foreground and explaining difficult concepts in straightforward language, Commins examines the many modern developments in quantum physics, including Bell's inequalities, locality, photon polarization correlations, the stability of matter, Casimir forces, geometric phases, AharonovâBohm and AharonovâCasher effects, magnetic monopoles, neutrino oscillations, neutron interferometry, the Higgs mechanism, and the electroweak standard model. The text is self-contained, covering the necessary background on atomic and molecular structure in addition to the traditional topics. Developed from the author's well-regarded course notes for his popular first-year graduate course at the University of California, Berkeley, instruction is supported by over Table of ContentsPreface; 1. Introduction; 2. Mathematical preliminaries; 3. The rules of quantum mechanics; 4. The connection between the fundamental rules and wave mechanics; 5. Further illustrations of the rules of quantum mechanics; 6. Further developments in one-dimensional wave mechanics; 7. The theory of angular momentum; 8. Wave mechanics in three dimensions: hydrogenic atoms; 9. Time-independent approximations for bound state problems; 10. Applications of static perturbation theory; 11. Identical particles; 12. Atomic structure; 13. Molecules; 14. The stability of matter; 15. Photons; 16. Interaction of non-relativistic charged particles and radiation; 17. Further topics in perturbation theory; 18. Scattering; 19. Special relativity and quantum mechanics: the Klein–Gordon equation; 20. The Dirac equation; 21. Interaction of a relativistic spin ½ particle with an external electromagnetic field; 22. The Dirac field; 23. Interaction between relativistic electrons, positrons, and photons; 24. The quantum mechanics of weak interactions; 25. The quantum measurement problem; Appendix A: useful inequalities for quantum mechanics; Appendix B: Bell's inequality; Appendix C: spin of the photon: vector spherical waves; Works cited; Bibliography; Index.
£69.34
Cambridge University Press An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
Book SynopsisCovering the fundamental underlying theory as well as a range of applications, this unique text provides a unified overview of reproducing kernel Hilbert spaces. It offers an unrivalled and accessible introduction to the field, ideal for graduate students and researchers working in functional analysis or its applications.Trade Review'The purpose of this fine monograph is two-fold. On the one hand, the authors introduce a wide audience to the basic theory of reproducing kernel Hilbert spaces (RKHS), on the other hand they present applications of this theory in a variety of areas of mathematics … the authors have succeeded in arranging a very readable modern presentation of RKHS and in conveying the relevance of this beautiful theory by many examples and applications.' Dirk Werner, Zentralblatt MATH'Anyone looking for a nice introduction to this theory need look no further.' Jeff Ibbotson, MAA ReviewsTable of ContentsPart I. General Theory: 1. Introduction; 2. Fundamental results; 3. Interpolation and approximation; 4. Cholesky and Schur; 5. Operations on kernels; 6. Vector-valued spaces; Part II. Applications and Examples: 7. Power series on balls and pull-backs; 8. Statistics and machine learning; 9. Negative definite functions; 10. Positive definite functions on groups; 11. Applications of RKHS to integral operators; 12. Stochastic processes.
£57.94
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.
£127.30
Cambridge University Press Factorization Algebras in Quantum Field Theory Volume 2
Book SynopsisIdeal for researchers and graduate students at the interface between mathematics and physics, this text develops quantum field theory from the ground up using a rich mix of modern mathematics. It provides a unified approach to deformation quantization, Hochschild homology, vertex algebras, conformal field theory, quantum groups, and gauge theory.Trade Review'The central achievement of the book is in its development of a formalism that leads to classical and quantum versions of Noether's theorem, itself a familiar topic in physics, using the language of factorization algebras … Institutions employing mathematicians and theoretical physicists actively working in this area should acquire the book … Recommended.' M. C. Ogilvie, Choice ConnectTable of Contents1. Introduction and overview; Part I. Classical Field Theory: 2. Introduction to classical field theory; 3. Elliptic moduli problems; 4. The classical Batalin–Vilkovisky formalism; 5. The observables of a classical field theory; Part II. Quantum Field Theory: 6. Introduction to quantum field theory; 7. Effective field theories and Batalin–Vilkovisky quantization; 8. The observables of a quantum field theory; 9. Further aspects of quantum observables; 10. Operator product expansions, with examples; Part III. A Factorization Enhancement of Noether's Theorem: 11. Introduction to Noether's theorems; 12. Noether's theorem in classical field theory; 13. Noether's theorem in quantum field theory; 14. Examples of the Noether theorems; Appendix A. Background; Appendix B. Functions on spaces of sections; Appendix C. A formal Darboux lemma; References; Index.
£118.75
Cambridge University Press Atomic Theory and the Description of Nature Four Essays with an Introductory Survey
Book SynopsisNiels Bohr (1885â1962) was a Danish physicist who played a key role in the development of atomic theory and quantum mechanics, he was awarded the Nobel Prize for Physics in 1922. First published in 1934, and reprinted in 1961, this collection contains four articles and an introductory survey. Originally written for various journals during the 1920s, the articles concern themselves with the epistemological significance of discoveries in quantum physics. Although aimed at physicists, they are generally non-technical, with only one using some elementary mathematics. This book will be of value to anyone with an interest in Bohr's contribution to physics.Table of ContentsIntroductory survey; 1. Atomic theory and mechanics; 2. The quantum postulate and the recent development of atomic theory; 3. The quantum of action and the description of nature; 4. The atomic theory and the fundamental principles underlying the description of nature.
£20.69
Cambridge University Press Kants Groundwork of the Metaphysics of Morals A Critical Guide Cambridge Critical Guides
Book SynopsisIn his Groundwork of the Metaphysics of Morals, Immanuel Kant portrays the supreme moral principle as an unconditional imperative that applies to all of us because we freely choose to impose upon ourselves a law of pure practical reason. Morality is revealed to be a matter of autonomy. Today, this approach to ethical theory is as perplexing, controversial and inspiring as it was in 1785, when the Groundwork was first published. The essays in this volume, by international Kant scholars and moral philosophers, discuss Kant's philosophical development and his rejection of earlier moral theories, the role of happiness and inclination in the Groundwork, Kant's moral metaphysics and theory of value, and his attempt to justify the categorical imperative as a principle of freedom. They reflect the approach of several schools of interpretation and illustrate the lively diversity of Kantian ethics today.Trade Review'This collection of essays is diverse and engaging. The essays are of wide theoretical interest and deftly address issues of interpretation along with broader normative issues arising from Kant's Groundwork. Striking a nice balance of interpretive and normative concerns, each essay draws on a wide variety of sources, including not only Kant, but also his sympathetic commentators and his detractors. Those in either camp are well-advised to give these essays their attention.' Notre Dame Philosophical ReviewsTable of ContentsAbbreviations; List of contributors; Introduction Jens Timmermann; 1. Ethics and anthropology in the development of Kant's moral philosophy Manfred Kuehn; 2. Happiness in the Groundwork Alison Hills; 3. Acting from duty: inclination, reason and moral worth Jens Timmermann; 4. Making the law visible: the role of examples in Kant's ethics Robert B. Louden; 5. The moral law as causal law Robert N. Johnson; 6. Dignity and the formula of humanity Oliver Sensen; 7. Kant's kingdom of ends: metaphysical, not political Katrin Flikschuh; 8. Kant against the 'spurious principles of morality' J. B. Schneewind; 9. Autonomy and impartiality: Groundwork III John Skorupski; 10. Problems with freedom: Kant's argument in Groundwork III and its subsequent emendation Paul Guyer; 11. Freedom and reason in Groundwork III Frederick Rauscher.
£31.90
