Based on a two-semester course held at the University of Heidelberg, Germany, this book provides an adequate resource for the lecturer and the student. The contents are primarily aimed at graduate students who wish to learn about the fundamental concepts behind constructing a Relativistic Quantum Theory of particles and fields. So it provides a comprehensive foundation for the extension to Quantum Chromodynamics and Weak Interactions, that are not included in this book. Contents: The Principles of Quantum Physics Lorentz Group and Hilbert Space Search for a Relativistic Wave Equation The Dirac Equation The Free Maxwell Field Quantum Mechanics of Dirac Particles Second Quantization Canonical Quantization Global Symmetries and Conservation Laws The Scattering Matrix Perturbation Theory Parametric Representation of a General Diagram Functional Methods Dyson–Schwinger Equation Regularization of Feynman Diagrams Renormalization Broken Scale Invariance and Callan–Symanzik Equation Renormalization Group Spontaneous Symmetry Breaking Effective Potentials
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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.
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Quantum computers are the proposed centerpieces of a revolutionary, 21st century quantum information technology. Ideal for undergraduate and graduate courses in modern quantum physics, Foundations of Quantum Mechanics: From Photons to Quantum Computers takes the reader into the fascinating world of quantum mechanics and continues on an in-depth study of quantum information and quantum computing, including an entire chapter on the future of quantum technology. This accessible text with modern applications focuses on what is “quantum” about quantum mechanics; topics discussed include the EPR paradox, entanglement, teleportation, Bell’s Theorem, quantum computing, and code-breaking with quantum computers.
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This textbook offers a comprehensive and up-to-date overview of the basic ideas in modern quantum optics, beginning with a review of the whole of optics, and culminating in the quantum description of light. The book emphasizes the phenomenon of interference as the key to understanding the behavior of light, and discusses distinctions between the classical and quantum nature of light. Laser operation is reviewed at great length and many applications are covered, such as laser cooling, Bose condensation and the basics of quantum information and teleportation. Quantum mechanics is introduced in detail using the Dirac notation, which is explained from first principles. In addition, a number of non-standard topics are covered such as the impossibility of a light-based Maxwell's demon, the derivation of the Second Law of thermodynamics from the first-order time-dependent quantum perturbation theory, and the concept of Berry's phase. The book emphasizes the physical basics much more than the formal mathematical side, and is ideal for a first, yet in-depth, introduction to the subject. Five sets of problems with solutions are included to further aid understanding of the subject.
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