Keller-type bounds for Dirac operators perturbed by rigid potentials

TL;DR

This paper extends Keller-type eigenvalue bounds from Schrödinger operators to Dirac operators with rigid potentials, without needing the potential to be small, broadening the applicability of such estimates.

Contribution

It introduces generalized Keller-type bounds for Dirac operators with structured potentials, relaxing the smallness condition on the potential's norm.

Findings

Established eigenvalue bounds for Dirac operators with rigid potentials

Extended Keller-type estimates beyond small-norm potentials

Applicable to non-selfadjoint Dirac operators with structured potentials

Abstract

In this paper we are interested in generalizing Keller-type eigenvalue estimates for the non-selfadjoint Schr\"{o}dinger operator to the Dirac operator, imposing some suitable rigidity conditions on the matricial structure of the potential, without necessarily requiring the smallness of its norm.