Eigenvalues behaviours for self-adjoint Pauli operators with unsigned perturbations and admissible magnetic fields

TL;DR

This paper studies how eigenvalues of 2D Pauli operators are affected by magnetic fields and electric potentials, providing new asymptotic formulas for eigenvalues under these conditions.

Contribution

It introduces novel eigenvalue asymptotics for self-adjoint Pauli operators with nonconstant magnetic fields and indefinite electric perturbations.

Findings

Derived new eigenvalue asymptotics for perturbed Pauli operators

Analyzed effects of sign-indefinite electric potentials

Enhanced understanding of spectral behavior under magnetic perturbations

Abstract

We investigate the behaviour of the eigenvalues of two-dimensional Pauli operators with nonconstant magnetic fields perturbed by a sign-indefinite decaying electric potential V. We prove new eigenvalues asymptotics.