【簡介】 This book provides a comprehensive exploration in the fundamental physics of the non-relativistic atom in terms of its symmetries. The book gives a complete treatment of the dynamical symmetries of the H atom and the use of these symmetries to determine energy levels and analytically calculate the first order radiative Lamb shift using group theory. Understanding radiative shifts is critical since measurement of the Lamb shift led to the development of quantum electrodynamics. The harmony between the mathematics and the physics is emphasised throughout the book. Through the lens of symmetry, it is possible to elucidate key features of the H atom is a way that is elegant, simple, and focuses on fundamentals.Understanding the hydrogen atom has been the gateway to the development of quantum physics for over 100 years. Both quantum mechanics and quantum electrodynamics were discovered by exploring the spectra of the H atom. This book outlines the key mathematical and physical behavior of the H atom, and its historical context, that led to these discoveries. The quantum behavior is related to the corresponding classical behavior and to the harmonic oscillator, the other fundamental central force system. Understanding the H atom, the most basic physical system, is a gateway to understanding much of quantum theory.
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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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