8 Unitary groups: Few-level systems, qubits, quarks

Kapitel in diesem Buch

1. Frontmatter I
2. Preface V
3. Contents XI
4. Part I: Basic concepts and principles
5. Introduction 1
6. 1 Outline of the book 5
7. 2 Continuous and infinitesimal symmetries 18
8. 3 Classical mechanics and quantum mechanics 44
9. Part II: The meaning of quantum mechanics
10. Introduction 75
11. 4 Measurement in quantum mechanics 77
12. 5 Quantum dynamics and spectroscopy 105
13. 6 On the foundations of quantum mechanics 125
14. Part III: The symmetries of space and time
15. Introduction 153
16. 7 Rotations and translations 155
17. 8 Unitary groups: Few-level systems, qubits, quarks 182
18. 9 Lie groups and Lie algebras 199
19. 10 Important families of Lie algebras 221
20. 11 Symmetries of spacetime 238
21. Part IV: Conservative classical mechanics
22. Introduction 265
23. 12 Classical oscillating systems 267
24. 13 Conservative classical mechanics 287
25. Part V: The dynamics of quantum systems
26. Introduction 317
27. 14 Hamiltonian quantum mechanics 319
28. 15 Quantum oscillators and coherent states 346
29. 16 Dynamical equations for quantum systems 363
30. Part VI: Representations of groups and Lie algebras
31. Introduction 381
32. 17 Representation theory 383
33. 18 Representations for quantum particles 395
34. 19 Spectra and spectroscopy 413
35. Bibliography 453
36. Author index 465
37. Symbol index 469
38. Subject index 471