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Stability of the Electron Cyclotron Resonance

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Abstract

We consider the magnetic AC Stark effect for the quantum dynamics of a single particle in the plane under the influence of an oscillating homogeneous electric and a constant perpendicular magnetic field. We prove that the electron cyclotron resonance is insensitive to impurity potentials.

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Authors and Affiliations

  1. Aix Marseille Université, CNRS, CPT UMR 7332, 13288, Marseille cedex 9, France

    Joachim Asch & Cédric Meresse

  2. Université de Toulon, CNRS, CPT UMR 7332, B.P. 20132, 83957, La Garde, France

    Joachim Asch

  3. Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Av. Vicuña Mackenna 4860, C.P. 690 44 11, Macul, Santiago, Chile

    Olivier Bourget

Authors
  1. Joachim Asch
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  2. Olivier Bourget
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  3. Cédric Meresse
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Correspondence to Joachim Asch.

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Communicated by R. Seiringer

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Asch, J., Bourget, O. & Meresse, C. Stability of the Electron Cyclotron Resonance. Commun. Math. Phys. 341, 607–623 (2016). https://doi.org/10.1007/s00220-015-2523-5

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  • DOI: https://doi.org/10.1007/s00220-015-2523-5

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