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Asymptotic expansion for the density of states of the magnetic Schrödinger operator with a random potential

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Abstract

We study the asymptotics for the density of states of the magnetic Schrödinger operator with a random potential. By using the methods of effective Hamiltonian, complex dilation and complex translation, we obtain in the large magnetic field limit, the asymptotic expansion for the density of states measure considered as a distribution.

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Authors and Affiliations

  1. UA 760 du CNRS, Départment de Mathématiques, Université Paris-Sud, Bâtiment 425, F-91405, Orsay Cedex, France

    Wei-Min Wang

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  1. Wei-Min Wang
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Communicated by B. Simon

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Wang, WM. Asymptotic expansion for the density of states of the magnetic Schrödinger operator with a random potential. Commun.Math. Phys. 172, 401–425 (1995). https://doi.org/10.1007/BF02099434

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  • DOI: https://doi.org/10.1007/BF02099434

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