English

Resonances Width in Crossed Electric and Magnetic Fields

Mathematical Physics 2009-11-10 v1 math.MP

Abstract

We study the spectral properties of a charged particle confined to a two-dimensional plane and submitted to homogeneous magnetic and electric fields and an impurity potential. We use the method of complex translations to prove that the life-times of resonances induced by the presence of electric field are at least Gaussian long as the electric field tends to zero.

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Cite

@article{arxiv.math-ph/0303029,
  title  = {Resonances Width in Crossed Electric and Magnetic Fields},
  author = {Christian Ferrari and Hynek Kovarik},
  journal= {arXiv preprint arXiv:math-ph/0303029},
  year   = {2009}
}

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3 figures