Sharp Spectral Asymptotics for Operators with Irregular Coefficients. III. Schroedinger operator with a strong magnetic field

TL;DR

This paper derives precise spectral asymptotics for 2D and 3D Schrödinger operators with strong magnetic fields under weak smoothness assumptions, improving previous results with new findings and corrections.

Contribution

It provides new sharp spectral asymptotics for Schrödinger operators with irregular coefficients under weak smoothness conditions, extending earlier work.

Findings

New spectral asymptotics derived for 2D and 3D cases

Inclusion of additional results and corrections to prior versions

Applicable under weak smoothness assumptions

Abstract

Sharp spectral asymptotics for 2- and 3-dimensional Schroedinger operators with strong magnetic field are derived under rather weak smoothness conditions. In comparison with version 1 of 2005 new results are added and minor errors corrected.