Eigenvalue bound for Schroedinger operators with unbounded magnetic field
Spectral Theory
2020-05-20 v1 Mathematical Physics
math.MP
Abstract
In this paper we consider magnetic Schroedinger operators on the two-dimensional unit disk with a radially symmetric magnetic field which explodes to infinity at the boundary. We prove a bound for the eigenvalue moments and a bound for the number of negative eigenvalues for such operators.
Cite
@article{arxiv.1907.02467,
title = {Eigenvalue bound for Schroedinger operators with unbounded magnetic field},
author = {Diana Barseghyan and Baruch Schneider},
journal= {arXiv preprint arXiv:1907.02467},
year = {2020}
}