內容大鋼
《現代量子力學》自問世以來以其簡潔、獨特的寫作風格很快聞名於世，成為「聖經級」量子力學教材。這本書的精妙之處在於「抓住了量子力學的靈魂」，內容選取、教授深度、設定的讀者對象與我國理工科研究生基礎理論課程「高等量子力學」非常吻合。
本書對於量力學概念的介紹與眾不同，沒有受制于量子力學發展的歷史線索，力求從一開始就擺脫經典力學的束縛。它直接從量子力學特有的電子自旋的觀測實驗出發，圍繞其狀態的概率特徵和疊加原理展開對於量子力學基本概念和基本原理的闡述。從空間平移、空間轉動及時間演化等對稱性變換出發，引入動量、角動量及哈密頓算符等基本力學量，討論它們的本征值問題，它們的運動方程及與經典力學的關係，從而直接切入量子力學的核心問題。這種被稱之為「用量子力學方式來思考」的做法貫穿全書，是本書最引入矚目之處。第二版較第一版在內容上有所擴充，增加了一章專門講述相對論量子力學。
目錄
Foreword to the First Edition
Preface to the Revised Edition
Preface to the Second Edition
In Memoriam
1 I Fundamental Concepts
1.1 The Stern-Gerlach Experiment
1.2 Kets, Bras, and Operators
1.3 Base Kets and Matrix Representations
1.4 Measurements, Observables, and the Uncertainty Relations
1.5 Change of Basis
1.6 Position, Momentum, and Translation
1.7 Wave Functions in Position and Momentum Space
2 I Quantum Dynamics
2.1 Time-Evolution and the Schr6dinger Equation
2.2 The Schr6dinger Versus the Heisenberg Picture
2.3 Simple Harmonic Oscillator
2.4 Schr6dinger's Wave Equation
2.5 Elementary Solutions to Schr6dinger's Wave Equation
2.6 Propagators and Feynman Path Integrals
2.7 Potentials and Gauge Transformations
3 Theory of Angular Momentum
3.1 Rotations and Angular-Momentum Commutation Relations
3.2 Spin 1 Systems and Finite Rotations
3.3 SO(3), SU(2), and Euler Rotations
3.4 Density Operators and Pure Versus Mixed Ensembles
3.5 Eigenvalues and Eigenstates of Angular Momentum
3.6 Orbital Angular Momentum
3.7 Schrrdinger's Equation for Central Potentials
3.8 Addition of Angular Momenta
3.9 Schwinger's Oscillator Model of Angular Momentum
3.10 Spin Correlation Measurements and Bell's Inequality
3.11 Tensor Operators
4 Symmetry in Quantum Mechanics
4.1 Symmetries, Conservation Laws, and Degeneracies
4.2 Discrete Symmetries, Parity, or Space Inversion
4.3 Lattice Translation as a Discrete Symmetry
4.4 The Time-Reversal Discrete Symmetry
Approximation Methods
5.1 Time-Independent Perturbation Theory: Nondegenerate Case
5.2 Time-Independent Perturbation Theory: The Degenerate Case
5.3 Hydrogen-Like Atoms: Fine Structure and the Zeeman Effect
5.4 Variational Methods
5.5 Time-Dependent Potentials: The Interaction Picture
5.6 Hamiltonians with Extreme Time Dependence
5.7 Time-Dependent Perturbation Theory
5.8 Applications to Interactions with the Classical Radiation Field
5.9 Energy Shift and Decay Width
6 Scattering Theory
6.1 Scattering as a Time-Dependent Perturbation
6.2 The Scattering Amplitude
6.3 The Born Approximation
6.4 Phase Shifts and Partial Waves
6.5 Eikonal Approximation
6.6 Low-Energy Scattering and Bound States
6.7 Resonance Scattering
6.8 Symmetry Considerations in Scattering
6.9 Inelastic Electron-Atom Scattering
7 Identical Particles
7.1 Permutation Symmetry
7.2 Symmetrization Postulate
Contents
7.3 Two-Electron System
7.4 The Helium Atom
7.5 Multiparticle States
7.6 Quantization of the Electromagnetic Field
8 Relativistic Quantum Mechanics
8.1 Paths to Relativistic Quantum Mechanics
8.2 The Dirac Equation
8.3 Symmetries of the Dirac Equation
8.4 Solving with a Central Potential
8.5 Relativistic Quantum Field Theory
A Electromagnetic Units
A. 1 Coulomb's Law, Charge, and Current
A.2 Converting Between Systems
B Brief Summary of Elementary Solutions to Schr6dinger's
Wave Equation
B.1 Free Particles (V = 0)
B.2 Piecewise Constant Potentials in One Dimension
B.3 Transmission-Reflection Problems
B.4 Simple Harmonic Oscillator
B.5 The Central Force Problem [Spherically Symmetrical Potential
V = V(r)
B.6 Hydrogen Atom
C Proof of the Angular-Momentum Addition Rule Given by
Equation (3.8.38 )
Bibliography
Index
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