Sharp Spectral Asymptotics for Operators with Irregular Coefficients. V. Multidimensional Schroedinger operator with a strong magnetic field. Non-Full-rank case
Analysis of PDEs
2011-08-03 v2 Mathematical Physics
math.MP
Abstract
Sharp spectral asymptotics for multidimensional Schroedinger operators with the strong magnetic field are derived under rather weak smoothness conditions. I assume that magnetic intensity matrix has constant defect r>0 at each point. In comparison with version 1 of 5.5 year ago this version contains more results (we also study some degenerations), improvements and some minor corrections.
Keywords
Cite
@article{arxiv.math/0510328,
title = {Sharp Spectral Asymptotics for Operators with Irregular Coefficients. V. Multidimensional Schroedinger operator with a strong magnetic field. Non-Full-rank case},
author = {Victor Ivrii},
journal= {arXiv preprint arXiv:math/0510328},
year = {2011}
}
Comments
105 pages