Local trace asymptotics in the self-generated magnetic field
Spectral Theory
2011-12-26 v4 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We consider a semiclassical asymptotics of local trace for the 3D-Schroedinger operator with self-generated magnetic field; it is given by Weyl expression with O(h^{-1}) error and under standard condition to Hamiltonian trajectories even o(h^{-1}). In comparison to v1,2 errors are corrected, new results are added and more details are provided. Misprint correction in comparison to v3
Keywords
Cite
@article{arxiv.1108.4188,
title = {Local trace asymptotics in the self-generated magnetic field},
author = {Victor Ivrii},
journal= {arXiv preprint arXiv:1108.4188},
year = {2011}
}
Comments
24 pp