 |
 |
|
|
| HAL : hal-00011166, version 1 |
| arXiv : math-ph/0502030 |
| Fiche détaillée |  Récupérer au format |
 |
| Journal of Mathematical Physics 46 (2005) N°5 |
|
|
|
|
| Propagators weakly associated to a family of Hamiltonians and the adiabatic theorem for the Landau Hamiltonian with a time-dependent Aharonov-Bohm flux |
|
|
| J. Asch 1I. Hradecky |
|
|
| (2005) |
|
|
|
| We study the dynamics of a quantum particle moving in a plane under the influence of a constant magnetic field and driven by a slowly time-dependent singular flux tube through a puncture. The known adiabatic results do not cover these models as the Hamiltonian has time dependent domain. We give a meaning to the propagator and prove an adiabatic theorem. To this end we introduce and develop the new notion of a propagator weakly associated to a time-dependent Hamiltonian. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Centre de Physique Théorique (CPT) |
|
|
|
CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Physique mathématique Physique/Physique mathématique |
|
|
| Lien vers le texte intégral : |
|
| http://fr.arXiv.org/abs/math-ph/0502030 |
| hal-00011166, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00011166 | |
| oai:hal.archives-ouvertes.fr:hal-00011166 | |
| Contributeur : Import arXiv | |
| Soumis le : Mardi 11 Octobre 2005, 20:38:44 | |
| Dernière modification le : Mardi 11 Octobre 2005, 20:38:44 | |
