Foreword by Victor F. Weisskopf

Preface by the Editor

Preface by the Students

Introduction

Part 1. Wave Functions of Force-Free Particles

1. Association of Waves with Particles
2. The Wave Function and Wave Equation
3. The Uncertainty Principle
4. Wave Packets and the Mechanics of Point Particles. Probability Density
5. Measuring Arrangements. Discussion of Examples
6. Classical Statistics and Quantum Statistics

Part 2. Description of a Particle in a Box and in Free Space

7. One Particle in a Box. The Equation of Continuity
8. Normalization in the Continuum. The Dirac δ-Function
9. The Completeness Relation. Expansion Theorem
10. Initial-Value Problem and the Fundamental Solution

Part 3. Particle in a Field of Force

11. The Hamiltonian Operator
12. Hermitian Operators
13. Expectation Values and the Classical Equation of Motion. Commutation Relations (Commutators)

Part 4. More than One Particle

14. More than One Particle

Part 5. Eigenvalue Problems. Functions of Mathematical Physics

15. The Linear Harmonic Oscillator. Hermite Polynomials
16. Matrix Calculus Illustrated with the Linear Harmonic Oscillator
17. The Harmonic Oscillator in a Plane. Degeneracy
18. The Hydrogen Atom

Part 6. Collision Processes

19. Asymptotic Solution of the Scattering Problem
20. The Scattering Cross Section. The Rutherford Scattering Formula
21. Solution of the Force-Free Wave Equation
22. Expansion of a Plane Wave in Legendre Polynomials
23. Solution of the Schrödinger Equation with an Arbitrary Central Potential
24. The Born Approximation
25. Scattering of Low-Energy Particles

Part 7. Approximate Methods for Solving the Wave Equation

26. Eigenvalue Problem of a Particle in a Uniform Field
27. The WKB Method

Part 8. Matrices and Operators. Perturbation Theory

28. General Relationship Between Matrices and Operators. Transformation Theory
29. General Formalism of Perturbation Theory in the Matrix Representation
30. Time-Dependent Perturbation

Part 9. Angular Momentum and Spin

31. General Commutation Relations
32. Matrix Elements of the Angular Momentum
33. Spin
34. Spinors and Space Rotations

Part 10. Identical Particles with Spin

35. Symmetry Classes
36. The Exclusion Principle
37. The Helium Atom
38. Collision of Two Identical Particles: Mott's Theory
39. The Statistics of Nuclear Spins

Part 11. Exercises

40. Fundamental Solution for Interval
41. Bound States and Tunnel Effect
42. Kronig-Penney Potential
43. Spherical Harmonics
44. Fundamental Solution for Harmonic Oscillator
45. Angular Momentum
46. Partial Waves
47. The Symmetrical Top

Bibliography

Appendix. Comments by the Editor

Index