1 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

Problems

2 QUANTUM DYNAMICS

2.1 Time Evolution and the Schr？dinger Equation

2.2 The Schr？dinger Versus the Heisenberg Picture

2.3 Simple Harmonic Oscillator

2.4 Schr？dinger's Wave Equation

2.5 Propagators and Feynman Path Integrals

2.6 Potentials and Gauge Transformations

Problems

3 THEORY OF ANGULAR MOMENTUM

3.1 Rotations and Angular Momentum Commutation Relations

3.2 Spin 1/2 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 Addition of Angular Momenta

3.8 Schwinger's Oscillator Model of Angular Momentum

3.9 Spin Correlation Measurements and Bell's Inequality

3.10 Tensor Operators

Problems

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

Problems

5 APPROXIMATION METHODS

5.1 Time-Independent Perturbation Theory：Nondegenerate Case

5.2 Time-Independent Perturbation Theory：The Degenerate Case

5.3 Hydrogenlike Atoms：Fine Structure and the Zeeman Effect

5.4 Variational Methods

5.5 Time-Dependent Potentials：The Interaction Picture

5.6 Time-Dependent Perturbation Theory

5.7 Applications to Interactions with the Classical Radiation Field

5.8 Energy Shift and Decay Width

Problems

6 IDENTICAL PARTICLES

6.1 Permutation Symmetry

6.2 Symmetrization Postulate

6.3 Two-Electron System

6.4 The Helium Atom

6.5 Permutation Symmetry and Young Tableaux

Problems

7 SCATTERING THEORY

7.1 The Lippmann-Schwinger Equation

7.2 The Born Approximation

7.3 Optical Theorem

7.4 Eikonal Approximation

7.5 Free-Particle States：Plane Waves Versus Spherical Waves

7.6 Method of Partial Waves

7.7 Low-Energy Scattering and Bound States

7.8 Resonance Scattering

7.9 Identical Particles and Scattering

7.10 Symmetry Considerations in Scattering

7.11 Time-Dependent Formulation of Scattering

7.12 Inelastic Electron-Atom Scattering

7.13 Coulomb Scattering

Problems

Appendix A

Appendix B

Appendix C

Supplement Ⅰ Adiabatic Change and Geometrical Phase

Supplement Ⅱ Non-Exponential Decays

Bibliography

Index