Sharp Spectral Asymptotics for Magnetic Schrödinger Operator with Irregular Potential

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 $\mu$. There are few principally different cases, depending on dimension, rank of magnetic intensity matrix, relation between $h$ and $\mu$ and some extra assumptions.

References in corpus (1)

• Sharp Spectral Asymptotics for Operators with Irregular Coefficients. III. Schroedinger operator with a strong magnetic field