Chapters in this book

1. Frontmatter i
2. Contents v
3. Introduction xiii
4. Chapter 1. The Place of Quantum Mechanics in Modern Physics 1
5. Chapter 2. The Dynamic Variables in Quantum Mechanics 11
6. Chapter 3. Wave Particle Duality, Superposition, and Non-Locality 19
7. Chapter 4. Complex Numbers, Wave Equations, and the Momentum Operator 25
8. Chapter 5. An End to Determinism 39
9. Chapter 6. The Newtonian Wave Equation 43
10. Chapter 7. Linear Spaces and Inner Products 53
11. Chapter 8. Operators, Eigenfunctions, and Eigenvalues 73
12. Chapter 9. The Place of Operators in Quantum Mechanics 93
13. Chapter 10. Commutation Relations in Quantum Mechanics 99
14. Chapter 11. Angular Momentum and the Position Operators 105
15. Chapter 12. A Note on Entanglement 109
16. Chapter 13. Expectation Value and Standard Deviation 113
17. Chapter 14. Probability 121
18. Chapter 15. The History of Quantum Mechanics 127
19. Chapter 16. Quantum Mechanics – An Overview 151
20. Chapter 17. Basic Formulae 167
21. Chapter 18. De Broglie Waves Lead to the Momentum Operator 175
22. Chapter 19. The Hamiltonian and Schrödinger’s Equations 179
23. Chapter 20. Boundary Conditions on Eigenfunctions 181
24. Chapter 21. Wave Mechanics - the Schrödinger Equation 185
25. Chapter 22. Solving the TISE in Several Potentials 203
26. Chapter 23. The Free Particle Solution of the TISE 205
27. Chapter 24. The Infinite Square Well Solution of the TDSE 211
28. Chapter 25. The Step Potential 215
29. Chapter 26. The 3-Dimensional Box and Degeneracy 225
30. Chapter 27. Parity 229
31. Chapter 28. The Simple Harmonic Oscillator 235
32. Chapter 29. Angular Momentum 249
33. Chapter 30. The Stern-Gerlach Experiment 261
34. Chapter 31. Intrinsic Spin 267
35. Chapter 32. A Revision of the Structure of Quantum Mechanics 279
36. Chapter 33. A Strange Aspect of Intrinsic Spin 283
37. Chapter 34. Identical Particles 287
38. Chapter 35. The Hydrogen Atom 291
39. Chapter 36. Relativistic Quantum Mechanics 297
40. Concluding Remarks 299
41. Appendix. The Postulates of Quantum Mechanics 301
42. Bibliography 305
43. Index 307