Preface

Classical Mechanics

• Newton's Laws, the Action, and the Hamiltonian
• Classical Space-Time Symmetries
• Problems
  

Fundamentals of Quantum Mechanics

• The Superposition Principle
• The Mathematical Language of Quantum Mechanics
• Continuous Eigenvalues
• Canonical Commutators and the Schrödinger Equation
• Quantum Dynamics
• The Uncertainty Principle
• Wave Functions
• Problems

Stationary States

• Elementary Examples
• The Harmonic Oscillator
• Spherically Symmetric Potentials and Angular Momentum
• Spherically Symmetric Potentials: Wave Functions
• Hydrogenlike Atoms
• Problems

Symmetry Transformations on States

• Introduction
• Spin and Rotations in Quantum Mechanics
• Addition of Angular Momenta
• Clebsch-Gordan Coefficients
• Problems

Symmetry Transformations on Operators

• Vector Observables
• Tensor Observables
• Discrete Symmetries
• Internal Symmetries: Isospin
• Problems
  

Interlude

• External Magnetic Fields
• The Density Matrix
• Neutrino Interference
• Measurements in Quantum Mechanics
• Problems

Approximation Methods for Bound States

• Bound-State Perturbation Theory
• Static External Electric Fields
• Fine Structure of the Hydrogen Atom
• Other Atoms
• The Variational Method
• Molecules
• The WKB Method
• Problem

Potential Scattering

• Introduction
• The Scattering Amplitude
• Partial Waves
• The Radial Wave Function
• Problems

Transitions

• Transitions in an External Field
• The Transition Matrix
• Scattering and Cross Sections
• Decays of Excited States
• Problems

Further Topics in Quantum Dynamics

• Path Integration
• Path Integration: Some Applications
• Berry's Phase
• Problems

The Quantized Electromagnetic Field

• The Classical Electromagnetic Field Hamiltonian
• The Quantized Radiation Field
• Properties of the Quantum Electromagnetic Field
• Electromagnetic Decays of Excited States
• Examples
• Absorption and Stimulated Emission of Radiation
• Scattering of Photons by Atoms
• The Casimir Effect
• Problems

Relativistic Wave Equations

• Lorentz Transformations
• Vector and Scalar Fields
• Relativistic Spin-Half Equations
• Dirac Electron in an Electromagnetic Field
• The Dirac Hydrogen Atom
• Problems

Identical Particles

• Nonrelativistic Identical-Particle Systems
• Elementary Applications
• Relativistic Spinless Particles
• The Quantized Dirac Field
• Interacting Relativistic Fields
• Problems

Appendices

• Miscellaneous Mathematical Tools
• Special Functions
• Orthogonal Curvilinear Coordinates
• Rotation Matrices
• SU(3)
• References

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