# Eigenvalue bound for Schroedinger operators with unbounded magnetic field

## TL;DR

This paper establishes bounds on eigenvalue moments and negative eigenvalues for magnetic Schrödinger operators on a disk with a radially symmetric magnetic field that becomes unbounded at the boundary.

## Contribution

It provides new eigenvalue bounds for Schrödinger operators with unbounded magnetic fields, extending previous results to radially symmetric cases on the disk.

## Key findings

- Bound for eigenvalue moments derived
- Bound for the number of negative eigenvalues established
- Results applicable to unbounded magnetic fields at boundary

## 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.