A remark on the Lifshitz tail for Schrödinger operator with random magnetic field |
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Authors: | Shu Nakamura |
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Institution: | (1) Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, 153-8914 Tokyo, Japan |
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Abstract: | In this note, we consider the Lifshitz singularity for Schrödinger operator with ergodic random magnetic field. A key estimate is an energy bound for magnetic Schrödinger operators as discussed in Nakamura 8]. Here we remove a technical assumption in 8], namely, the uniform boundedness of the magnetic field. |
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Keywords: | Random Schr?dinger operators Lifshitz tail random magnetic fields |
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