Sharp Spectral Asymptotics for Magnetic Schrödinger Operator with Irregular Potential

Victor Ivrii

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Sharp Spectral Asymptotics for Magnetic Schrödinger Operator with Irregular Potential

Victor Ivrii

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Abstract

Survey: In this paper I consider sharp spectral asymptotics for multidimensional magnetic Schrödinger operator with irregular coefficients with respect to two parameters -- semiclassical parameter $h$ and coupling parameter $μ$. There are few principally different cases, depending on dimension, rank of magnetic intensity matrix, relation between $h$ and $μ$ and some extra assumptions.

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Victor Ivrii. 2006-03-05. Sharp Spectral Asymptotics for Magnetic Schrödinger Operator with Irregular Potential. https://arxiv.org/abs/math/0603119

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