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Record Nr. |
UNINA9910480615203321 |
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Autore |
Wachsmuth Jakob <1981-> |
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Titolo |
Effective Hamiltonians for constrained quantum systems / / Jakob Wachsmuth, Stefan Teufel |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2013 |
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©2013 |
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ISBN |
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Descrizione fisica |
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1 online resource (96 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 230, Number 1083 |
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Disciplina |
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Soggetti |
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Hamiltonian operator |
Quantum theory |
Eigenvalues |
Mechanics |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 230, Number 1083 (fifth of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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