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