Magnetic Schroedinger operators with radially symmetric magnetic field and radially symmetric electric potential
Diana Barseghyan, Francoise Truc
TL;DR
This paper derives spectral estimates for eigenvalue moments of magnetic Schrödinger operators on a 2D disk with radially symmetric magnetic and electric fields, advancing understanding of their spectral properties.
Contribution
It provides new spectral estimates for eigenvalues of magnetic Schrödinger operators with radially symmetric fields on a disk, a novel analysis in this context.
Findings
Spectral estimates for eigenvalue moments are established.
Results apply to operators with radially symmetric magnetic and electric fields.
The paper advances spectral theory for magnetic Schrödinger operators.
Abstract
The aim of the paper is to derive spectral estimates on the eigenvalue moments of the magnetic Schroedinger operators defined on the two-dimensional disk with a radially symmetric magnetic field and radially symmetric electric potential.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Numerical methods in inverse problems · Quantum chaos and dynamical systems