Self-adjoint extensions in quantum mechanics : general theory and applications to Schrödinger and Dirac equations with singular potentials
Quantization of physical systems requires a correct definition of quantum-mechanical observables, such as the Hamiltonian, momentum, etc., as self-adjoint operators in appropriate Hilbert spaces and their spectral analysis. Though a naïve treatment exists for dealing with such problems, it is base...
Guardat en:
| Autors principals: | , , |
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| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Boston :
Birkhäuser Boston
2012.
Cham : Springer Nature |
| Col·lecció: | Progress in Mathematical Physics
62 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Self-adjoint extensions in quantum mechanics, general theory and applications to Schrödinger and Dirac equations with singular potentials, D. M. Gitman, I. V. Tyutin, B. L. Voronov, New York, Birkhäuser, Springer, 2012, 1 vol. (XIII-511 p.), Progress in mathematical physics, 978-0-8176-4400-0 |
Taula de continguts:
- Introduction Linear Operators in Hilbert Spaces Basics of Theory of s.a. Extensions of Symmetric Operators Differential Operators Spectral Analysis of s.a. Operators Free One-Dimensional Particle on an Interval One-Dimensional Particle in Potential Fields Schrödinger Operators with Exactly Solvable Potentials Dirac Operator with Coulomb Field Schrödinger and Dirac Operators with Aharonov-Bohm and Magnetic-Solenoid Fields