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

A.P. French and Edwin F. Taylor: An Introduction to Quantum Physics

Published $\text {1978}$, Nelson Thornes

ISBN 0-7487-4078-3

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 waves 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 wave 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 of linear 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 lifetimes

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

sepected physical constants and conversion factors

index

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• 1978: A.P. French and Edwin F. Taylor: An Introduction to Quantum Physics ... (previous) ... (next): $1$: Simple models of the atom: $\text {1-3}$: The Electrical Structure of Matter