Sharp Spectral Asymptotics for four-dimensional Schroedinger operator with a strong magnetic field. II
Analysis of PDEs
2007-05-23 v1 Spectral Theory
Abstract
I consider 4-dimensional Schr\"odinger operator with the generic non-degenerating magnetic field and for a generic potential I derive spectral asymptotics with the remainder estimate and the principal part where is Planck constant and is the intensity of the magnetic field. For general potentials remainder estimate is achieved.
Cite
@article{arxiv.math/0612252,
title = {Sharp Spectral Asymptotics for four-dimensional Schroedinger operator with a strong magnetic field. II},
author = {Victor Ivrii},
journal= {arXiv preprint arXiv:math/0612252},
year = {2007}
}
Comments
57pp