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Article Dans Une Revue Journal of Mathematical Physics Année : 2005

Propagators weakly associated to a family of Hamiltonians and the adiabatic theorem for the Landau Hamiltonian with a time-dependent Aharonov-Bohm flux

I. Hradecky
  • Fonction : Auteur
P. Stovicek
  • Fonction : Auteur

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.

Dates et versions

hal-00011166 , version 1 (11-10-2005)

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Citer

J. Asch, I. Hradecky, P. Stovicek. Propagators weakly associated to a family of Hamiltonians and the adiabatic theorem for the Landau Hamiltonian with a time-dependent Aharonov-Bohm flux. Journal of Mathematical Physics, 2005, 46, pp.N°5. ⟨hal-00011166⟩
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