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.

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.