Sharp Spectral Asymptotics for Magnetic Schr\"odinger Operator with Irregular Potential
Abstract
Survey: In this paper I consider sharp spectral asymptotics for multidimensional magnetic Schr\"odinger 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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