现代量子力学(第2版)(英文版)

《现代量子力学》自问 世以来以其简洁、独特的写 作风格很快闻名于世，成为 “圣经级”量子力学教材。这 本书的精妙之处在于“抓住 了量子力学的灵魂”，内容 选取、教授深度、设定的读 者对象与我国理工科研究生 基础理论课程“高等量子力 学”非常吻合。 本书对于量力学概念的 介绍与众不同，没有受制于 量子力学发展的历史线索， 力求从一开始就摆脱经典力 学的束缚。它直接从量子力 学特有的电子自旋的观测实 验出发，围绕其状态的概率 特征和叠加原理展开对于量 子力学基本概念和基本原理 的阐述。从空间平移、空间 转动及时间演化等对称性变 换出发，引入动量、角动量 及哈密顿算符等基本力学量 ，讨论它们的本征值问题， 它们的运动方程及与经典力 学的关系，从而直接切入量 子力学的核心问题。这种被 称之为“用量子力学方式来 思考”的做法贯穿全书，是 本书最引入瞩目之处。第二 版较第一版在内容上有所扩 充，增加了一章专门讲述相 对论量子力学。

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