Effective Hamiltonians for constrained quantum systems / / Jakob Wachsmuth, Stefan Teufel

• Autore: Wachsmuth Jakob <1981->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 2013; ©2013
• Descrizione fisica: 1 online resource (96 p.)
• Disciplina: 530.120151539
• Soggetto topico: Hamiltonian operator; Quantum theory; Eigenvalues; Mechanics
• Persona (resp. second.): TeufelStefan <1970->
• Note generali: "Volume 230, Number 1083 (fifth of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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 metric""""4.2. 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""
• Titolo autorizzato: Effective Hamiltonians for constrained quantum systems
• ISBN: 1-4704-1673-5
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910822543303321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; Volume 230, Number 1083.