User:Y-S.Ko/Contents/Quantum Mechanics

1 Historical Introduction 1.1 Photons 1.2 Atomic Spectra 1.3 Wave Mechanics 1.4 Matrix Mechanics 1.5 Probabilistic Interpretation

2 Particle States in a Central Potential 2.1 Schrödinger Equation for a Central Potential 2.2 Spherical Harmonics 2.3 The Hydrogen Atom 2.4 The Two-Body Problem 2.5 The Harmonic Oscillator

3 General Principles of Quantum Mechanics 3.1 States 3.2 Continuum States 3.3 Observables 3.4 Symmetries 3.5 Space Translation 3.6 Time Translation and Inversion 3.7 Interpretations of Quantum Mechanics

4 Spin et cetera 4.1 Rotations 4.2 Angular-Momentum Multiplets 4.3 Addition of Angular Momenta 4.4 The Wigner–Eckart Theorem 4.5 Bosons and Fermions 4.6 Internal Symmetries 4.7 Inversions 4.8 Algebraic Derivation of the Hydrogen Spectrum 4.9 The Rigid Rotator

5 Approximations for Energy Eigenvalues 5.1 First-Order Perturbation Theory 5.2 The Zeeman Effect 5.3 The First-Order Stark Effect 5.4 Second-Order Perturbation Theory 5.5 The Variational Method 5.6 The Born–Oppenheimer Approximation 5.7 The WKB Approximation 5.8 Broken Symmetry 5.9 Van der Waals Forces

6 Approximations for Time-dependent 6.1 First-Order Perturbation Theory 6.2 Monochromatic Perturbations 6.3 Ionization by an Electromagnetic Wave 6.4 Fluctuating Perturbations 6.5 Absorption and Stimulated Emission of Radiation 6.6 The Adiabatic Approximation 6.7 The Berry Phase 6.8 Rabi Oscillations and Ramsey Interferometers 6.9 Open Systems

7 Potential Scattering 7.1 In-States 7.2 Scattering Amplitudes 7.3 The Optical Theorem 7.4 The Born Approximation 7.5 Phase Shifts 7.6 Resonances 7.7 Time Delay 7.8 Levinson’s Theorem 7.9 Coulomb Scattering 7.10 The Eikonal Approximation

8 General Scattering Theory 8.1 The S-Matrix 8.2 Rates 8.3 The General Optical Theorem 8.4 The Partial Wave Expansion 8.5 Resonances Revisited 8.6 Old-Fashioned Perturbation Theory 8.7 Time-Dependent Perturbation Theory 8.8 Shallow Bound States 8.9 Time Reversal of Scattering Processes

9 The Canonical Formalism 9.1 The Lagrangian Formalism 9.2 Symmetry Principles and Conservation Laws 9.3 The Hamiltonian Formalism 9.4 Canonical Commutation Relations 9.5 Constrained Hamiltonian Systems 9.6 The Path-Integral Formalism

10 Charged Particles in Electromagnetic Fields 10.1 Canonical Formalism for Charged Particles 10.2 Gauge Invariance 10.3 Landau Energy Levels

11 The Quantum Theory of Radiation 11.1 The Euler–Lagrange Equations 11.2 The Lagrangian for Electrodynamics 11.3 Commutation Relations for Electrodynamics 11.4 The Hamiltonian for Electrodynamics 11.5 Interaction Picture 11.6 Photons 11.7 Radiative Transition Rates 11.8 Quantum Key Distribution

12 Entanglement 12.1 Paradoxes of Entanglement 12.2 The Bell Inequalities 12.3 Quantum Computation