Principles of Quantum Mechanics

Capa
Springer Science & Business Media, 6 de dez. de 2012 - 676 páginas

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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Conteúdo

1 Mathematical Introduction
1
2 Review of Classical Mechanics
75
3 All Is Not Well with Classical Mechanics
107
4 The Postulatesa General Discussion
115
5 Simple Problems in One Dimension
151
6 The Classical Limit
179
7 The Harmonic Oscillator
185
8 The Path Integral Formulation of Quantum Theory
222
14 Spin
373
15 Addition of Angular Momenta
403
16 The Variational and WKB Methods
429
17 TimeIndependent Perturbation Theory
451
18 TimeDependent Perturbation Theory
473
19 Scattering Theory
523
20 The Dirac Equation
563
Part II
581

9 The Heisenberg Uncertainty Relations
237
10 Systems with N Degrees of Freedom
247
11 Symmetries and Their Consequences
279
12 Rotational Invariance and Angular Momentum
305
13 The Hydrogen Atom
353
Appendix
655
Answers to Selected Exercises
665
Table of Constants
669
Index
671
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