Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators

TL;DR

This paper presents new results on the absence and localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators, utilizing resolvent estimates and the Birman-Schwinger principle to advance spectral analysis.

Contribution

It introduces novel eigenvalue localization results for Dirac and Klein-Gordon operators using established resolvent estimates and the Birman-Schwinger principle.

Findings

Eigenvalue absence regions identified

Eigenvalue localization results established

Enhanced understanding of spectral properties of non-self-adjoint operators

Abstract

This note aims to give prominence to some new results on the absence and localization of eigenvalues for the Dirac and Klein-Gordon operators, starting from known resolvent estimates already established in the literature combined with the renowned Birman-Schwinger principle.