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

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## A.P. French and Edwin F. Taylor:

## 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

### 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