Cover
Half-Title page
Reviews
Title page
Copyright page
Dedication page
Contents
Preface
Notation
1 Historical Introduction
1.1 Photons
1.2 Atomic Spectra
1.3 Wave Mechanics
1.4 Matrix Mechanics
1.5 Probabilistic Interpretation
Historical Bibliography
Problems
2 Particle States in a Central Potential
2.1 Schrรถdinger 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
Problems
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
Problems
4 Spin et cetera
4.1 Rotations
4.2 Angular-Momentum Multiplets
4.3 Addition of Angular Momenta
4.4 The WignerโEckart 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
Problems
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 BornโOppenheimer Approximation
5.7 The WKB Approximation
5.8 Broken Symmetry
5.9 Van der Waals Forces
Problems
6 Approximations for Time-DependentProblems
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
Problems
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
Problems
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
Problems
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
Problems
10 Charged Particles in ElectromagneticFields
10.1 Canonical Formalism for Charged Particles
10.2 Gauge Invariance
10.3 Landau Energy Levels
10.4 The AharonovโBohm Effect
Problems
11 The Quantum Theory of Radiation
11.1 The EulerโLagrange 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
Problems
12 Entanglement
12.1 Paradoxes of Entanglement
12.2 The Bell Inequalities
12.3 Quantum Computation
Author Index
Subject Index