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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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2004] |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 515/.724 |
| Collana |
Aportaciones matemáticas
Contemporary mathematics |
| Soggetto topico | Schrödinger operator |
| ISBN |
0-8218-7930-8
0-8218-5675-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788666603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2004] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2004] |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 515/.724 |
| Collana |
Aportaciones matemáticas
Contemporary mathematics |
| Soggetto topico | Schrödinger operator |
| ISBN |
0-8218-7930-8
0-8218-5675-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910828541503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2004] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
