Spectral theory of Schrödinger operators : lecture notes from a workshop on Schrödinger Operator Theory, December 3-7, 2001, Universidad Nacional Autónoma de México, ILMAS / / Rafael del Río, Carlos Villegas-Blas, editors
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| Titolo: |
Spectral theory of Schrödinger operators : lecture notes from a workshop on Schrödinger Operator Theory, December 3-7, 2001, Universidad Nacional Autónoma de México, ILMAS / / Rafael del Río, Carlos Villegas-Blas, editors
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2004] |
| ©2004 | |
| Descrizione fisica: | 1 online resource (264 p.) |
| Disciplina: | 515/.724 |
| Soggetto topico: | Schrödinger operator |
| Soggetto genere / forma: | Electronic books. |
| Persona (resp. second.): | RíoRafael del <1957-> |
| Villegas-BlasCarlos <1964-> | |
| Note generali: | "Lecture notes from a workshop on Schrödinger operator theory, December 3-7, 2001, Universidad Nacional Autonoma de Mexico, IIMAS, Mexico." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""3.1. Asymptotic behavior of eigensolutions and the spectrum""""3.2. Spherical symmetry""; ""3.3. Radial periodicity""; ""3.4. Numerical analysis""; ""References""; ""Spectral theory for self-adjoint extensions""; ""1. Introduction""; ""2. General notation and results""; ""3. The spectral calculus""; ""4. Spectral subspaces""; ""5. Schatten classes""; ""6. Spectral decomposition and dynamics""; ""7. Self � adjoint extensions""; ""7.1 The Black � Box � Model""; ""7.2 Spectral gaps""; ""8. Spectra inside one gap""; ""9. Absolutely continuous spectra""; ""10. Coupling between gaps"" |
| ""2.6. Laplace transforms and Ergodic Theorem""""2.7. Approach using Dirichlet-Neumann bracketing""; ""2.8. Independence of the choice of boundary conditions""; ""3. Wegner estimate""; ""3.1. Continuity of the IDS""; ""3.2. Application to Anderson localisation""; ""3.3. Resonances of Hamiltonians on disjoint regions""; ""4. Wegner's original idea. Rigorous implementation""; ""4.1. Spectral averaging of the trace of the spectral projection""; ""4.2. Improved volume estimate""; ""4.3. Sparse potentials""; ""4.4. Locally continuous coupling constants""; ""4.5. Potentials with small support"" | |
| ""Index"" | |
| Titolo autorizzato: | Spectral theory of Schrödinger operators |
| ISBN: | 0-8218-7930-8 |
| 0-8218-5675-8 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480012403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Contemporary mathematics (American Mathematical Society) ; ; v. 340.
Aportaciones matemáticas.