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Lifshitz Tail for Schrödinger Operator¶with Random Magnetic Field

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Abstract:

We study the behavior of the density states at the lower edge of the spectrum for Schrödinger operators with random magnetic fields. We use a new estimate on magnetic Schrödinger operators, which is similar to the Avron–Herbst–Simon estimate but the bound is always nonnegative.

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Authors and Affiliations

  1. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1, Komaba, Meguro-ku,¶Tokyo 153-8914, Japan. E-mail: shu@ms.u-tokyo.ac.jp, , , , , , JP

    Shu Nakamura

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  1. Shu Nakamura
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Received: 3 January 2000 / Accepted: 18 April 2000

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Nakamura, S. Lifshitz Tail for Schrödinger Operator¶with Random Magnetic Field. Commun. Math. Phys. 214, 565–572 (2000). https://doi.org/10.1007/s002200000276

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  • DOI: https://doi.org/10.1007/s002200000276

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