Book:A.P. French/An Introduction to Quantum Physics

Not to be referred to, you naughty students, as French and Saunders.

Subject Matter

 * Quantum Mechanics

Contents

 * PREFACE
 * LEARNING AIDS FOR QUANTUM PHYSICS


 * 1 Simple models of the atom
 * 1-1 Introduction
 * 1-2 The classical atom
 * 1-3 The electrical structure of matter
 * 1-4 The Thomson atom
 * 1-5 Line spectra
 * 1-6 Photons
 * 1-7 The Rutherford-Bohr atom
 * 1-8 Further predictions of the Bohr model
 * 1-9 Direct evidence of discrete energy levels
 * 1-10 X-ray spectra
 * 1-11 A note on x-ray spectroscopy
 * ''1-12 Concluding remarks
 * EXERCISES


 * 2 The wave properties of particles''
 * 2-1 De Broglie's hypothesis
 * 2-2 De Broglie above and particle velocities
 * 2-3 Calculated magnitudes of De Broglie wavelengths
 * 2-4 The Davisson-Germer experiments
 * 2-5 More about the Davisson-Germer experiments
 * 2-6 Further manifestations of the Lazarus properties of electrons
 * 2-7 Wave properties of neutral atoms and molecules
 * 2-8 Wave properties of nuclear particles
 * 2-9 The meaning of the wave-particle duality
 * 2-10 The coexistence of wave and particle properties
 * 2-11 A first discussion of quantum amplitudes
 * EXERCISES


 * 3 Wave-particle duality and bound states
 * 3-1 Preliminary remarks
 * 3-2 The approach to a particle-wave equation
 * 3-3 The Schrödinger equation
 * 3-4 Stationary states
 * 3-3 Particle in a one-dimensional box
 * 3-6 Unique energy without unique momentum
 * 3-7 Interpretation of the quantum amplitudes for bound states
 * 3-8 Particles in nonrigid boxes
 * 3-9 Square well of finite depth
 * 3-10 Normalisation of the wave function
 * 3-11 Qualitative plots of bound-state wave functions
 * EXERCISES


 * 4 Solutions of Schrödinger's equation in one dimension
 * 4-1 Introduction
 * 4-2 The square well
 * 4-3 The harmonic oscillator
 * 4-4 Vibrational energies of diatomic molecules
 * 4-5 Computer solutions of the Schrödinger equation
 * EXERCISES


 * 5 Further applications of Schrödinger's equation
 * 5-1 Introduction
 * 5-2 The three-dimensional Schrödinger equation
 * 5-3 Eigenfunctions and eigenvalues
 * 5-4 Particle in a three-dimensional box
 * 5-5 Spherically symmetric solutions for hydrogen-like systems
 * 5-6 Normalization and probability densities
 * 5-7 Expectation values
 * 5-8 Computer solutions for spherically symmetric hydrogen wave functions
 * EXERCISES


 * 6 Photons and quantum states
 * 6-1 Introduction
 * 6-2 States oflinear polarization
 * 6-3 Linearly polarized photons
 * 6-4 Probability and the behavior of polarized photons
 * 6-5 States of circular polarization
 * 6-6 Orthogonality and completeness
 * 6-7 Quantum states
 * 6-8 Statistical and classical properties of light
 * 6-9 Concluding remarks
 * APPENDIX: POLARIZED LIGHT AND ITS PRODUCTION
 * 6A-1 The production of linearly polarized light
 * 6A-2 The production of circularly polarized light
 * Suggested experiments with linearly polarized light
 * EXERCISES


 * 7 Quantum amplitudes and state vectors
 * 7-1 Introduction
 * 7-2 The analyzer loop
 * 7-3 Paradox of the recombined beams
 * 7-4 Interference effect in general
 * 7-5 Formalism of projection amplitudes
 * 7-6 Properties of projection amplitudes
 * 7-7 Projection amplitudes for states of circular polarization
 * 7-8 The state vector
 * 7-9 The state vector and the Schrödinger wave function for bound states
 * EXERCISES


 * 8 The time dependence of quantum states
 * 8-1 Introduction
 * 8-2 Superposition of states
 * 8-3 An example of motion in a box
 * 8-4 Packet states in a square-well potential
 * 8-5 The position-momentum uncertainty relation
 * 8-6 The uncertainty principle and ground-state energies
 * 8-7 Free-particle packet states
 * 8-8 Packet states for moving particles
 * 8-9 Examples of moving packet states
 * 8-10 The energy-time uncertainty relation
 * 8-11 Examples of the energy-time uncertainty relation
 * 8-12 The shape and width of energy levels
 * EXERCISES


 * 9 Particle scattering and barrier penetration
 * 9-1 Scattering processes in terms of wave packets
 * 9-2 Time-independent approach to scattering phenomena
 * 9-3 Probability density and probability current
 * 9-4 Scattering by a one-dimensional well
 * 9-5 Barrier penetration: tunneling
 * 9-6 Probability current and barrier penetration problems
 * 9-7 An approximation for barrier penetration calculations
 * 9-8 Field emission of electrons
 * 9-9 Spherically symmetric probability currents
 * 9-10 Quantitative theory of alpha decay
 * 9-11 Scattering of wave packets
 * EXERCISES


 * 10 Angular momentum
 * 10-1 Introduction
 * 10-2 Stern-Gerlach experiment: theory
 * 10-3 Stern-Gerlach experiment: descriptive
 * 10-4 Magnitudes of atomic dipole moments
 * 10-5 Orbital angular momentum operators
 * 10-6 Eigenvalues of $L_z$
 * 10-7 Simultaneous eigenvalues
 * 10-8 Quantum states of a two-dimensional harmonic oscillator
 * EXERCISES


 * 11 Angular momentum of atomic systems
 * 11-1 Introduction
 * 11-2 Total orbital angular momentum in central fields
 * 11-3 Rotational states of molecules
 * 11-4 Spin angular momentum
 * 11-5 Spin orbit coupling energy
 * 11-6 Formalism for total angular momentum
 * APPENDIX: THE SCHRÖDINGER EQUATION IN SPHERICAL COORDINATES
 * EXERCISES


 * 12 Ouantum states of three-dimensional systems
 * 12-1 Introduction
 * 12-2 The Coulomb model
 * 12-3 General features of the radial wave functions for hydrogen
 * 12-4 Exact radial wave functions for hydrogen
 * 12-5 Complete Coulomb wave functions
 * 12-6 Classification of energy eigenstates in hydrogen
 * 12-7 Spectroscopic notation
 * 12-8 Fine structure of hydrogen energy levels
 * 12-9 Isotopic fine structure: heavy hydrogen
 * 12-10 Other hydrogen-like systems
 * EXERCISES


 * 13 Identical particles and atomic structure
 * 13-1 Introduction
 * 13-2 Schrödinger's equation for two noninteracting particles
 * 13-3 The consequences of identity
 * 13-4 Spin states for two particles
 * 13-5 Exchange symmetry and the Pauli principle
 * 13-6 When does symmetry or antisymmetry matter?
 * 13-7 Measurability of the symmetry character
 * 13-8 States of the helium atom
 * 13-9 Many-electron atoms
 * 13-10 General structure of a massive atom
 * EXERCISES


 * 14 Radiation by atoms
 * 14-1 Introduction
 * 14-2 The classical Hertzian dipole
 * 14-3 Radiation from an arbitrary charge distribution
 * 14-4 Radiating dipoles according to wave mechanics
 * 14-5 Radiation rates and atomic Itfetimes
 * 14-6 Selection rules and radiation patterns
 * 14-7 Systematics of line spectra
 * 14-8 Angular momentum of photons
 * 14-9 Magnetic dipole radiation and galactic hydrogen
 * 14-10 Concluding remarks
 * EXERCISES


 * BIBLIOGRAPHY
 * ANSWERS TO EXERCISES
 * SELECTED PHYSICAL CONSTANTS AND CONVERSION FACTORS
 * INDEX