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Twisted pseudodifferential calculus and application to the quantum evolution of molecules
About this Title
André Martinez and Vania Sordoni
Publication: Memoirs of the American Mathematical Society
Publication Year:
2009; Volume 200, Number 936
ISBNs: 978-0-8218-4296-6 (print); 978-1-4704-0550-2 (online)
DOI: https://doi.org/10.1090/memo/0936
MathSciNet review: 2527490
MSC: Primary 35Q40; Secondary 35S05, 47G30, 47N50, 81Q20, 81V55
Table of Contents
Chapters
- Chapter 1. Introduction
- Chapter 2. Assumptions and main results
- Chapter 3. A modified operator
- Chapter 4. Twisted $h$-admissible operators
- Chapter 5. Twisted partial differential operators
- Chapter 6. Construction of a quasi-invariant subspace
- Chapter 7. Decomposition of the evolution for the modified operator
- Chapter 8. Proof of Theorem 2.1
- Chapter 9. Proof of Corollary 2.6
- Chapter 10. Computing the effective Hamiltonian
- Chapter 11. Propagation of wave-packets
- Chapter 12. Application to polyatomic molecules
- Appendix A. Smooth pseudodifferential calculus with operator-valued symbol
- Appendix B. Propagation of the support
- Appendix C. Two technical lemmas