Sharp Spectral Asymptotics for Dirac Energy. II. Magnetic Schroedinger operator
Analysis of PDEs
2007-12-05 v1 Spectral Theory
Abstract
I derive sharp semiclassical asymptotics of \int |e_h(x,y,0)|^2\omega (x,y)dxdy where e_h(x,y,\tau) is the Schwartz kernel of the spectral projector of Magnetic Schroedinger operator and \omega (x,y) is singular as x=y. I also consider asymptotics of more general expressions.
Keywords
Cite
@article{arxiv.0712.0494,
title = {Sharp Spectral Asymptotics for Dirac Energy. II. Magnetic Schroedinger operator},
author = {Victor Ivrii},
journal= {arXiv preprint arXiv:0712.0494},
year = {2007}
}
Comments
44 pp