Preface
1 Introduction
1.1 Introduction
1.2 Schrodinger's Equation
1.3 Eigenfunctio
1.4 Measurement
1.5 Representatio
1.5.1 Schrodinger Representation
1.5.2 Heisenberg Representation
1.6 Noncommuting Operato
2 One Dimeion
2.1 Square Well
2.2 Linear Potentials
2.3 Harmonic Osallator
2.4 Raising and Lowering Operato
2.5 Exponential Potential
2.5.1 Boun,d State
2.5.2 Contin,uum State
2.6 Delta-Function Potential
2.7 Number of Solutio
2.8 Normalization
2.8.1 Boun,d States
2.8.2 Box Normalization
2.8.3 Delta-Function Normalization
2.8.4 The Limit of Infinite Volume
2.9 Wave Packets
3 Approximate Methods
3.1 WKBJ
3.2 Bound States by WKBJ
3.2.1 Harmonic Oscillator
3.2.2 Moe Potential
3.2.3 Symmetric Ramp
3.2.4 Discontinuous Potentials
3.3 Electron Tunneling
3.4 Variational Theory
3.4.1 Half-Space Potential
3.4.2 Harmonic Oscillator in One Dimeion
4 Spin and Angular Momentum
4.1 Operato, Eigenvalues, and Eigenfunctic
4.1.1 Commutation Relatio
4.1.2 Raising and Lowering Operato
4.1.3 Eigenfun,aio an,d Eigenvalues
4.2 Representatio
4.3 Rigid Rotatio
4.4 The Addition ofAngular Momentum
5 Two and Three Dimeio
5.1 Plane Waves in Three Dimeio
5.2 Plane Waves in Two Dimeio
5.3 Central Potentials
5.3.1 Central Potentials in 3D
5.3.2 Central Potential in 2D
5.4 Coulomb Potentials
5.4.1 Bound States
5.4.2 Confluent Hypergeometric Functio
5.4.3 Hydrogen Eigenfunaio
5.4.4 Continuum States
5.5 WKBJ
5.5.1 Three Dimeio
5.5.2 3D Hvdrogen Atom
5.5.3 Two Dimeio
……
6 Matrix Methods and Perturbation Theory
7 Time-Dependent Perturbatio
8 Electromagnetic Radiation
9 Many-Particle Systems
10 Scattering Theory
11 Relativistic Quantum Mechanics
Index