Sharp Spectral Asymptotics for Magnetic Schr\"odinger Operator with Irregular Potential
Analysis of PDEs
2007-05-23 v1 Spectral Theory
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 and coupling parameter . There are few principally different cases, depending on dimension, rank of magnetic intensity matrix, relation between and and some extra assumptions.
Cite
@article{arxiv.math/0603119,
title = {Sharp Spectral Asymptotics for Magnetic Schr\"odinger Operator with Irregular Potential},
author = {Victor Ivrii},
journal= {arXiv preprint arXiv:math/0603119},
year = {2007}
}