Sharp Spectral Asymptotics for Magnetic Schrödinger Operator with Irregular Potential
Abstract
Description
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.