- 巻冊次
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v. 1 : us,pbk ISBN 9780471164333
内容説明
Beginning students of quantum mechanics frequently experience difficulties separating essential underlying principles from the specific examples to which these principles have been historically applied. Nobel-Prize-winner Claude Cohen-Tannoudji and his colleagues have written this book to eliminate precisely these difficulties. Fourteen chapters provide a clarity of organization, careful attention to pedagogical details, and a wealth of topics and examples which make this work a textbook as well as a timeless reference, allowing to tailor courses to meet students' specific needs. Each chapter starts with a clear exposition of the problem which is then treated, and logically develops the physical and mathematical concept. These chapters emphasize the underlying principles of the material, undiluted by extensive references to applications and practical examples which are put into complementary sections. The book begins with a qualitative introduction to quantum mechanical ideas using simple optical analogies and continues with a systematic and thorough presentation of the mathematical tools and postulates of quantum mechanics as well as a discussion of their physical content.
Applications follow, starting with the simplest ones like e.g. the harmonic oscillator, and becoming gradually more complicated (the hydrogen atom, approximation methods, etc.). The complementary sections each expand this basic knowledge, supplying a wide range of applications and related topics as well as detailed expositions of a large number of special problems and more advanced topics, integrated as an essential portion of the text.
目次
Waves and Particles. Introduction to the Fundamental Concepts of Quantum Mechanics. The Mathematical Tools of Quantum Mechanics. The Postulates of Quantum Mechanics. Application of the Postulates to Simple Cases: Two Level Systems and Spin 1/2 Systems. The One Dimensional Harmonic Oscillator. General Properties of Angular Momentum in Quantum Mechanics. Particles in a Central Potential. The Hydrogen Atom.
- 巻冊次
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v. 2 : us,pbk ISBN 9780471164357
内容説明
Beginning students of quantum mechanics frequently have difficulty separating essential underlying principles from the specific examples to which these principles have historically been applied. This book is especially designed to eliminate that difficulty. Fourteen chapters, augmented by 14 "complementary sections," provide a clarity of organization, careful attention to pedagogical details, and a wealth of topics and examples that allow physics professors to tailor courses to meet students' specific needs. Each chapter starts with a clear exposition of the problem to be treated and then logically develops the physical and mathematical concept. These chapters emphasize the underlying principles of the material, undiluted by extensive references to applications and practical examples. (Such applications and practical examples are contained in the complementary sections.) The book begins with a qualitative introduction to quantum mechanical ideas using simple optical analogies and continues with a systematic presentation of the mathematical tools and postulates of quantum mechanics as well as a discussion of their physical content.
Applications follow, starting with the simplest ones (two-level systems, the harmonic oscillator, etc.), and becoming gradually more complicated (the hydrogen atom, approximation methods, etc.). The complementary sections each expand this basic knowledge, supplying a wide range of applications and related topics which make use of the essential skills. Here the authors include carefully written, detailed expositions of a large number of special problems and more advanced topics-integrated as an essential portion of the text. These topics, however, are not interdependent; this allows professors to direct their quantum mechanics courses toward both physics and chemistry students.
目次
An Elementary Approach to the Quantum Theory of Scattering by a Potential Electron Spin. Addition of Angular Momenta. Stationary Perturbation Theory. An Application of Perturbation Theory. The Fine and Hyperfine Structure of the Hydrogen Atom. Approximation Methods for Time--Dependent Problems. Systems of Identical Particles. APPENDIXES: Fourier Series and the Fourier Transform. The Dirac delta " Function". The Lagrangian and Hamiltonian in Classical Mechanics. INDEX.
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