Contents
Foreword
Preface
In Memoriam
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,Observales,and the Uncertainty Relations
1.5 Change of Basis
1.6 Position,Momentum,and Translation
1.7 Wave Functions in Postion and Momentum Space
Problems
2 QUANTUM DYNAMICS
2.1 Time Evolution and the Schrodinger Equation
2.2 The Schrodinger Versus the Heisenberg Picture
2.3 Simple Harmonic Oscillator
2.4 Schrodingers 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 Spin1/2 Systems and Finite Roations
3.3 SO(3),Su(2),and Euler Roations
3.4 Density Operators and Pure Versus Muixed 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 Corelation 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 iscrete 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 Aton
6.5 Permutation Symmetry and Young Tableaux
Problems
7 SCATTERING THEROY
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 Symmerty Considerations in Scattering
7.11 Time-Dependent Formulation of Scattering
7.12 Inelastic Electron-Atom Scattering
7.13 Coulomb Scattering
Problems
AppendixA
AppendixB
AppendixC
SupplementⅠ Adiabatic Change and Geometrical Phase
SupplementⅡ Non-Exponential Decays
Bibliography
INdex