Table of Contents

PREFACES

INTRODUCTION
The Photoelectric Effect
The Compton Effect
Line Spectra and Atomic Structure
De Broglie Waves
Wave-Particle Duality
The Rest of This Book

THE ONE-DIMENSIONAL SCHRÖDINGER EQUATIONS
The Time-Dependent Schrödinger Equation
The Time-Independent Schrödinger Equation
Boundary Conditions
The Infinite Square Well
The Finite Square Well
Quantum Mechanical Tunneling
The Harmonic Oscillator

THE THREE-DIMENSIONAL SCHRÖDINGER EQUATIONS
The Wave Equations
Separation in Cartesian Coordinates
Separation in Spherical Polar Coordinates
The Hydrogenic Atom

THE BASIC POSTULATES OF QUANTUM MECHANICS
The Wavefunction
The Dynamical Variables
Probability Distributions
Commutation Relations
The Uncertainty Principle
The Time Dependence of the Wavefunction
Degeneracy
The Harmonic Oscillator Again
The Measurement of Momentum by Compton Scattering

ANGULAR MOMENTUM I
The Angular Momentum Operators
The Angular Momentum Eigenvalues and Eigenfunctions
The Experimental Measurement of Angular Momentum
General Solution to the Angular Momentum Eigenvalue Problem

ANGULAR MOMENTUM II
Matrix Representations
Pauli Spin Matrices
Spin and the Quantum Theory of Measurement
Dirac Notation
Spin-Orbit Coupling and the Zeeman Effect
A More General Treatment of the Coupling of Angular Momenta

TIME-INDEPENDENT PERTURBATION THEORY AND THE VARIATIONAL PRINCIPLE
Perturbation Theory for Non-Degenerate Energy Levels
Perturbation Theory for Degenerate Levels
The Variational Principle

TIME DEPENDENCE
Time-Independent Hamiltonians
The Sudden Approximation
Time-Dependent Perturbation Theory
Selection Rules
The Ehrenfest Theorem
The Ammonia Maser

SCATTERING
Scattering in One Dimension
Scattering in Three Dimensions
The Born Approximation
Partial Wave Analysis

MANY-PARTICLE SYSTEMS
General Considerations
Isolated Systems
Non-Interacting Particles
Indistinguishable Particles
Many-Particle Systems
The Helium Atom
Scattering of Identical Particles

RELATIVITY AND QUANTUM MECHANICS
Basic Results in Special Relativity
The Dirac Equation
Antiparticles
Other Wave Equations
Quantum Field Theory and the Spin-Statistics Theorem

QUANTUM INFORMATION
Quantum Cryptography
Entanglement
Cloning and Teleportation
Quantum Computing

THE CONCEPTUAL PROBLEMS OF QUANTUM MECHANICS
The Conceptual Problems
Hidden-Variable Theories
Non-Locality
The Quantum Measurement Problem
The Ontological Problem

Problems appear at the end of each chapter.

About the Author

Birmingham University, UK