Twisted pseudodifferential calculus and application to the quantum evolution of molecules /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Martinez, André
Otros Autores: Sordoni, Vania
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, ©2009.
Colección:Memoirs of the American Mathematical Society ; no. 936.
Temas:
Pseudodifferential operators.
Born-Oppenheimer approximation.
Wave packets.
Evolution equations.
Evolution (Biology) > Mathematical models.
Quantum theory > Mathematics.
Opérateurs pseudo-différentiels.
Approximation de Born-Oppenheimer.
Paquets d'ondes.
Équations d'évolution.
Théorie quantique > Mathématiques.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Born-Oppenheimer approximation
Evolution (Biology) > Mathematical models
Evolution equations
Pseudodifferential operators
Quantum theory > Mathematics
Wave packets
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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