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现代量子力学 修订版【2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载】

现代量子力学 修订版
  • J·J·Sakurai著 著
  • 出版社： 北京;西安：世界图书出版公司
  • ISBN：7506273144
  • 出版时间：2006
  • 标注页数：500页
  • 文件大小：61MB
  • 文件页数：514页
  • 主题词：

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图书目录

1 FUNDAMENTAL CONCEPTS1

1.1 The Stern-Gerlach Experiment2

1.2 Kets,Bras,and Operators10

1.3 Base Kets and Matrix Representations17

1.4 Measurements,Observables,and the Uncertainty Relations23

1.5 Change of Basis36

1.6 Position,Momentum,and Translation41

1.7 Wave Functions in Position and Momentum Space51

Problems60

2 QUANTUM DYNAMICS68

2.1 Time Evolution and the Schr？dinger Equation68

2.2 The Schr？dinger Versus the Heisenberg Picture80

2.3 Simple Harmonic Oscillator89

2.4 Schr？dinger's Wave Equation97

2.5 Propagators and Feynman Path Integrals109

2.6 Potentials and Gauge Transformations123

Problems143

3 THEORY OF ANGULAR MOMENTUM152

3.1 Rotations and Angular Momentum Commutation Relations152

3.2 Spin 1/2 Systems and Finite Rotations158

3.3 SO(3),SU(2),and Euler Rotations168

3.4 Density Operators and Pure Versus Mixed Ensembles174

3.5 Eigenvalues and Eigenstates of Angular Momentum187

3.6 Orbital Angular Momentum195

3.7 Addition of Angular Momenta203

3.8 Schwinger's Oscillator Model of Angular Momentum217

3.9 Spin Correlation Measurements and Bell's Inequality223

3.10 Tensor Operators232

Problems242

4 SYMMETRY IN QUANTUM MECHANICS248

4.1 Symmetries,Conservation Laws,and Degeneracies248

4.2 Discrete Symmetries,Parity,or Space Inversion251

4.3 Lattice Translation as a Discrete Symmetry261

4.4 The Time-Reversal Discrete Symmetry266

Problems282

5 APPROXIMATION METHODS285

5.1 Time-Independent Perturbation Theory：Nondegenerate Case285

5.2 Time-Independent Perturbation Theory：The Degenerate Case298

5.3 Hydrogenlike Atoms：Fine Structure and the Zeeman Effect304

5.4 Variational Methods313

5.5 Time-Dependent Potentials：The Interaction Picture316

5.6 Time-Dependent Perturbation Theory325

5.7 Applications to Interactions with the Classical Radiation Field335

5.8 Energy Shift and Decay Width341

Problems345

6 IDENTICAL PARTICLES357

6.1 Permutation Symmetry357

6.2 Symmetrization Postulate361

6.3 Two-Electron System363

6.4 The Helium Atom366

6.5 Permutation Symmetry and Young Tableaux370

Problems377

7 SCATTERING THEORY379

7.1 The Lippmann-Schwinger Equation379

7.2 The Born Approximation386

7.3 Optical Theorem390

7.4 Eikonal Approximation392

7.5 Free-Particle States：Plane Waves Versus Spherical Waves395

7.6 Method of Partial Waves399

7.7 Low-Energy Scattering and Bound States410

7.8 Resonance Scattering418

7.9 Identical Particles and Scattering421

7.10 Symmetry Considerations in Scattering422

7.11 Time-Dependent Formulation of Scattering424

7.12 Inelastic Electron-Atom Scattering429

7.13 Coulomb Scattering434

Problems441

Appendix A446

Appendix B456

Appendix C458

Supplement Ⅰ Adiabatic Change and Geometrical Phase464

Supplement Ⅱ Non-Exponential Decays481

Bibliography487

Index491

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