1.

Record Nr.

UNINA9910480500803321

Autore

Martinez André

Titolo

Twisted pseudodifferential calculus and application to the quantum evolution of molecules / / André Martinez, Vania Sordoni

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2009

©2009

ISBN

1-4704-0550-4

Descrizione fisica

1 online resource (96 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 200, Number 936

Disciplina

515/.7242

Soggetti

Pseudodifferential operators

Born-Oppenheimer approximation

Wave packets

Evolution equations

Evolution (Biology) - Mathematical models

Quantum theory - Mathematics

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 200, Number 936 (first of 6 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""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""; ""Bibliography""