Magnetic Dirichlet Laplacian with radially symmetric magnetic field

TL;DR

This paper derives spectral estimates for the eigenvalue moments of the magnetic Dirichlet Laplacian on a 2D disk with a radially symmetric magnetic field, advancing understanding of magnetic spectral problems.

Contribution

It provides new spectral estimates specifically for the magnetic Dirichlet Laplacian with radial symmetry, a case less explored in prior literature.

Findings

Spectral estimates for eigenvalue moments derived.

Results applicable to magnetic fields with radial symmetry.

Enhanced understanding of magnetic Laplacian spectral properties.

Abstract

The aim of the paper is to derive spectral estimates on the eigenvalue moments of the magnetic Dirichlet Laplacian defined on the two-dimensional disk with a radially symmetric magnetic field.