Sharp Spectral Asymptotics for 2-dimensional Schr\"odinger operator with a strong magnetic field. Note about forgotten generic case
Analysis of PDEs
2007-05-23 v1 Spectral Theory
Abstract
I consider magnetic Schr\"odinger operator in dimension assuming that coefficients are smooth and magnetic field is non-degenerating. Then I extend the remainder estimate derived in \cite{Ivr1} for the case when has no stationary points to the case when it has non-degenerating stationary points. If some of them are saddles and then asymptotics contains correction terms of magnitude .
Cite
@article{arxiv.math/0603118,
title = {Sharp Spectral Asymptotics for 2-dimensional Schr\"odinger operator with a strong magnetic field. Note about forgotten generic case},
author = {Victor Ivrii},
journal= {arXiv preprint arXiv:math/0603118},
year = {2007}
}
Comments
6 pp