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Effective Hamiltonians for constrained quantum systems /
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2013.
|
| Colección: | Memoirs of the American Mathematical Society ;
Volume 230, no. 1083. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Contents
- Chapter 1. Introduction
- 1.1. The model
- 1.2. Comparison with existing results
- Chapter 2. Main results
- 2.1. Effective dynamics on the constraint manifold
- 2.2. The effective Hamiltonian
- 2.3. Approximation of eigenvalues
- 2.4. Application to quantum wave guides
- Chapter 3. Proof of the main results
- 3.1. Proof of adiabatic decoupling
- 3.2. Pullback of the results to the ambient space
- 3.3. Derivation of the effective Hamiltonian
- 3.4. Proof of the approximation of eigenvalues
- Chapter 4. The whole story
- 4.1. Elliptic estimates for the Sasaki metric4.2. Expansion of the Hamiltonian
- 4.3. Construction of the superadiabatic subspace
- Appendix A. Geometric definitions and conventions
- A.1. Manifolds of bounded geometry
- A.2. The geometry of submanifolds
- Bibliography