Quantum mechanics principle


Review: `An excellent text....The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succint manner.' - American Scientist, from a review of the First Edition Book Description

"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)

"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.

从第一版的评论: “一个优秀的文本,假设的量子力学的数学基础讨论了一个清晰,简洁的方式。” (美国科学家) “不管如何轻轻1介绍学生了狄拉克的左矢和右矢的概念,许多概念被推翻。尚卡尔攻击的问题迎面在第一章中,并在一个很正规的风格表明,那里是没有什么好害怕的。 “ (物理学公告) “这种大规模的文本700页和奇数页确实是一个很好的开始,是非常口头和表现,并广泛合作calculational的细节---恰到好处的第一道菜。的风格是对话,更像是一个走廊说话或讲义,但排列的文字......这将是特别有用的学生和量子化学等相关领域的开始。“ (数学评论) R.尚卡尔已经推出的重要补充和更新,主要介绍的量子力学原理“第二版。这种创新的文本的新功能包括一个完全重写的数学介绍,时间反演不变性的讨论,并广泛覆盖各种路径积分及其应用。其他亮点包括: - 清晰,方便的治疗,基础数学 - 牛顿,拉格朗日和哈密尔顿力学 - 量子理论的理解,提高学生的数学定理单独处理,物理假设 - 无与伦比的覆盖路径积分及其在当代物理学中的相关 先进的本科生和研究生水平的学生,量子力学原理(第二版)的所需文本充分参考和支持的许多练习和解决方案。这本书的章节也使其适用于独立的研究和应用学科的课程。


1. Mathematical Introduction

2. Review of Classical Mechanics

3. All Is Not Well with Classical Mechanics

4. The Postulates-a General Discussion

5. Simple Problems in One Dimension

6. The Classical Limit

7. The Harmonica Oscillator

8. The Path Integral Formulation of Quantum Theory

9. The Heisenberg Uncertainty Relations

10. Systems with N Degrees of Freedom

11. Symmetries and Their Consequences

12. Rotational Invariance and Angular Momentum

13. The Hydrogen Atom

14. Spin

15. Addition of Angular Momenta

16. Variational and WKB Methods

17. Time-Independent Perturbation Theory

18. Time-Dependent Perturbation Theory

19. Scattering Theory

20. The Dirac Equation

21. Path Integrals-II





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