Quantum Theory as an Emergent Phenomenon (1版)

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Although it is our most successful physical theory, quantum mechanics raises conceptual issues that have perplexed physicists and philosophers of science for decades. This book develops a new approach based on the proposal that quantum theory is not a complete, final theory, but, in fact, an emergent phenomenon arising from a more profound level of dynamics.

Fractional Statistics and Quantum Theory (2版)

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"As an important feature, this book contains both mathematics and physics, properly balanced for a student interested in studying theoretical physics. There are many exercises to be worked out. I am pleased to highly recommend the book for any one interested in the anyons." Professor Mukunda P Das The Australian National University Reviews of the First Edition: "This lucid monograph is highly recommended for those who want to do further research in the area as well as for those who are merely curious about this unusual aspect of quantum many-body physics." Current Science "The overall style is clear and pedagogical, with emphasis on symmetry and simplicity ... I recommend this book for newcomers, graduate students and teachers who are interested in having an introduction to the topics of the book's title." Mathematical Reviews This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced researchers with a reasonable background in quantum and statistical mechanics. Topics in the first part of the book include the flux tube model of anyons, the braid group and a detailed discussion about the various aspects of quantum and statistical mechanics of a noninteracting anyon gas. The second part of the book includes a detailed discussion about fractional statistics from the point of view of Chern-Simons theories. Topics covered here include Chern-Simons field theories, charged vortices, anyon superconductivity and the fractional quantum Hall effect. Since the publication of the first edition of the book, an exciting possibility has emerged, that of quantum computing using anyons. A section has therefore been included on this topic in the second edition. In addition, new sections have been added about scattering of anyons with hard disk repulsion as well as fractional exclusion statistics and negative probabilities.

PRINCIPLES OF QUANTUM MECHANICS (2版)

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【原文書】 書名：Principles of Quantum Mechanics 2/e 作者:R. Shankar 出版社：Kluwer Academic Plenum Publishers ISBN：9780306447907 About this Textbook Reviews from the First Edition: "An excellent text … The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succinct manner." (American Scientist) "No matter how gently one introduces students to the concept of Dirac’s bras and kets, many are turned off. Shankar attacks the problem head-on in the first chapter, and in a very informal style suggests that there is nothing to be frightened of." (Physics Bulletin) Reviews of the Second Edition: "This massive text of 700 and odd pages has indeed an excellent get-up, is very verbal and expressive, and has extensively worked out calculational details---all just right for a first course. The style is conversational, more like a corridor talk or lecture notes, though arranged as a text. … It would be particularly useful to beginning students and those in allied areas like quantum chemistry." (Mathematical Reviews) R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include: - Clear, accessible treatment of underlying mathematics - A review of Newtonian, Lagrangian, and Hamiltonian mechanics - Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates - Unsurpassed coverage of path integrals and their relevance in contemporary physics The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.

Consistent Quantum Theory

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This volume elucidates the consistent quantum theory approach to quantum mechanics at a level accessible to university students in physics, chemistry, mathematics, and computer science, making this an ideal supplement to standard textbooks. Griffiths provides a clear explanation of points not yet adequately treated in traditional texts and which students find confusing, as do their teachers. The book will also be of interest to physicists and philosophers working on the foundations of quantum mechanics.

REAL SCIENCE WHAT IT IS AND WHAT IT MEANS

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Unlike most other similar books, this systematic, carefully reasoned, non-technical analysis of the nature and significance of scientific knowledge opens the way to reconciliation in the 'science wars'. By describing how academic scientists actually undertake research and communicate their findings, it shows that the philosophy, psychology and sociology of science are inextricably entwined, and that 'realism' and 'relativism' are just two sides of the same coin. The writing is well-informed, down-to-earth and lucid.

WHAT IS A QUANTUM FIELD THEORY?

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DescriptionContentsResourcesCoursesAbout the Authors Quantum field theory (QFT) is one of the great achievements of physics, of profound interest to mathematicians. Most pedagogical texts on QFT are geared toward budding professional physicists, however, whereas mathematical accounts are abstract and difficult to relate to the physics. This book bridges the gap. While the treatment is rigorous whenever possible, the accent is not on formality but on explaining what the physicists do and why, using precise mathematical language. In particular, it covers in detail the mysterious procedure of renormalization. Written for readers with a mathematical background but no previous knowledge of physics and largely self-contained, it presents both basic physical ideas from special relativity and quantum mechanics and advanced mathematical concepts in complete detail. It will be of interest to mathematicians wanting to learn about QFT and, with nearly 300 exercises, also to physics students seeking greater rigor than they typically find in their courses. Erratum for the book can be found at michel.talagrand.net/erratum.pdf. Maintains balance between mathematical methods and the efficient but non-rigorous methods of physics, clarifying at every step the status of the arguments with respect to rigor Keeps the advanced mathematical tools to a minimum and builds them from the ground up, providing easy access to a broad audience Covers in detail certain fundamental topics, such as renormalization, which are barely touched in most physics books Includes a self-contained introduction to all the physics needed, and in particular the basics of quantum mechanics and special relativity Table of Contents Introduction Part I. Basics: 1. Preliminaries 2. Basics of non-relativistic quantum mechanics 3. Non-relativistic quantum fields 4. The Lorentz group and the Poincaré group 5. The massive scalar free field 6. Quantization 7. The Casimir effect Part II. Spin: 8. Representations of the orthogonal and the Lorentz group 9. Representations of the Poincaré group 10. Basic free fields Part III. Interactions: 11. Perturbation theory 12. Scattering, the scattering matrix and cross sections 13. The scattering matrix in perturbation theory 14. Interacting quantum fields Part IV. Renormalization: 15. Prologue – power counting 16. The Bogoliubov-Parasiuk-Hepp-Zimmermann scheme 17. Counter-terms 18. Controlling singularities 19. Proof of convergence of the BPHZ scheme.