Adiabatic analysis of the Landau Hamiltonian driven by a time-dependent Aharonov-Bohm ux∗

  • J. Asch, I. Hradecký, P. ́oví£ek
  • Published 2005

Abstract

We study the dynamics of a charged particle moving in a plane under the in uence of a constant magnetic eld and driven by a slowly time-dependent singular ux tube through a puncture. We discuss the meaning of the propagator and show that an adiabatic approximation is valid. To this end we develop the notion of a propagator weakly associated to a time-dependent Hamiltonian.

Cite this paper

@inproceedings{Asch2005AdiabaticAO, title={Adiabatic analysis of the Landau Hamiltonian driven by a time-dependent Aharonov-Bohm ux∗}, author={J. Asch and I. Hradeck{\'y} and P. ́ov{\'i}£ek}, year={2005} }