| Type de publication : |
 |
Articles dans des revues avec comité de lecture |
|
| Domaine : |
|
|
|
| Titre : |
|
Propagators weakly associated to a family of Hamiltonians and the adiabatic theorem for the Landau Hamiltonian with a time-dependent Aharonov-Bohm flux |
|
| Auteur(s) : |
|
J. Asch 1, I. Hradecky, P. Stovicek |
|
| Laboratoire : |
|
|
|
| Résumé : |
|
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. |
|
Langue du texte
intégral : |
|
Anglais |
|
Date de production,
écriture : |
|
2005 |
|
|
| Journal : |
|
| Journal of Mathematical Physics (J. Math. Phys.) |
| Publisher |
American Institute of Physics (AIP) |
| ISSN |
0022-2488 |
|
|
| Date de publication : |
|
2005 |
|
| Volume : |
|
46 |
|
| Page, identifiant, ... : |
|
N°5 |
|
|
| Commentaire : |
|
Title and Abstract changed |
|
|
Récupérer au format
