Chapter 18. Semiclassical Spectroscopy

Chapters in this book

1. Frontmatter i
2. Contents vii
3. Preface xiii
4. Acknowledgments xv
5. Introduction xvii
6. PART I. CLASSICAL MECHANICS WITH AN EYE TO QUANTUM MECHANICS
7. Chapter 1. The Lagrangian and the Action 3
8. Chapter 2. Canonical Transformations 23
9. Chapter 3. Time Evolution in Phase Space 35
10. Chapter 4. Classical Resonance Theory 84
11. PART II. QUANTUM AND SEMICLASSICAL MECHANICS
12. Chapter 5. Aspects of Time-Dependent Quantum Mechanics 105
13. Chapter 6. Stationary Phase Integration 117
14. Chapter 7. Feynman Path Integral to Van Vleck Propagator 133
15. Chapter 8. Stressing the VVMG Propagator 153
16. Chapter 9. Phase Space Representations of Wavefunctions and Densities 159
17. Chapter 10. Gaussian Wavepackets and Linear Dynamics 165
18. Chapter 11. Gaussian Wavepacket Methods for Nonlinear Time Evolution 185
19. Chapter 12. WKB Methods 199
20. Chapter 13. Tunneling 214
21. Chapter 14. Bixon-Jortner and Fano-Anderson Models 241
22. Chapter 15. Power of Degeneracy 246
23. PART III. APPLICATIONS TO SPECTROSCOPY
24. Chapter 16. Born-Oppenheimer Approximation and Its Implications 259
25. Chapter 17. Time-Dependent Formulations of Spectroscopy 277
26. Chapter 18. Semiclassical Spectroscopy 303
27. Chapter 19. Semiclassical Dynamics and One-Photon Spectroscopy 313
28. Chapter 20. Semiclassical Dynamics and Two-Photon Spectroscopy: Raman Scattering 336
29. PART IV. CHAOS AND QUANTUM MECHANICS
30. Chapter 21. Aspects of Quantum Chaology 343
31. Chapter 22. Quantum Scars of Classical Periodic Orbits 374
32. Chapter 23. Random Waves and Nodal Structure of Eigenstates 381
33. Chapter 24. Branched Flow 397
34. Chapter 25. Decoherence 408
35. Chapter 26. Multiple Scattering Theory 418
36. Appendix 433
37. Further Reading 437
38. Bibliography 439
39. Index 449