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Record Nr. |
UNINA9910257431703321 |
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Titolo |
Schrödinger Operators [[electronic resource] ] : Proceedings of the Nordic Summer School in Mathematics Held at Sandbjerg Slot, Sønderborg, Denmark, August 1–12, 1988 / / edited by Helge Holden, Arne Jensen |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1989 |
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ISBN |
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Edizione |
[1st ed. 1989.] |
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Descrizione fisica |
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1 online resource (V, 458 p. 2 illus.) |
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Collana |
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Lecture Notes in Physics, , 0075-8450 ; ; 345 |
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Disciplina |
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Soggetti |
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Physics |
Quantum computers |
Spintronics |
Quantum physics |
Mathematical Methods in Physics |
Numerical and Computational Physics, Simulation |
Quantum Information Technology, Spintronics |
Quantum Physics |
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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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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Dirichlet forms and generalized Schrödinger operators -- Asymptotic properties of resonance functions and generalized eigenfunctions -- Path integrals for relativistic Schrodinger operators -- Some applications of commutation methods -- Equation de Schrödinger avec champ magnétique et équation de Harper -- Asymptotic perturbation theory for Schrödinger eigenvalue problems -- to N-body Schrödinger operators -- Nonlinear Schrödinger equations -- Random Schrödinger operators a course -- Kinetic energy bounds and their application to the stability of matter -- On the use of intertwining operators in inverse scattering -- Inverse spectral problems on compact Riemannian manifolds -- Many-body scattering problem -- Stability of relativistic Coulomb and gravitating systems. |
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Sommario/riassunto |
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Understanding quantum mechanics inevitably leads to an in-depth |
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study of the Schrödinger operator. This set of review lectures informs researchers and advanced students of the most recent developments in the analysis of the Schrödinger operator occurring in solid-state physics, nuclear physics, etc. The topics covered are nonlinear and random potentials, magnetic fields, and many-body problems. Inverse spectral theory is also treated. The results are mathematically rigorous and many physical implications are discussed. The book is suitable for advanced courses in mathematical physics. |
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