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| HAL: hal-00011166, version 1 |
| arXiv: math-ph/0502030 |
| Detailed view |  Export this paper |
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| Journal of Mathematical Physics 46 (2005) N°5 |
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| Propagators weakly associated to a family of Hamiltonians and the adiabatic theorem for the Landau Hamiltonian with a time-dependent Aharonov-Bohm flux |
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| J. Asch 1I. Hradecky |
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| (2005) |
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| 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. |
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| 1: | Centre de Physique Théorique (CPT) |
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CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var |
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| Subject | : | Mathematics/Mathematical Physics Physics/Mathematical Physics |
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| Fulltext link: |
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| 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 | |
| From: Import arXiv | |
| Submitted on: Tuesday, 11 October 2005 20:38:44 | |
| Updated on: Tuesday, 11 October 2005 20:38:44 | |
