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

15 pages

References in corpus (4)

• Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers
• Location of eigenvalues of non-self-adjoint discrete Dirac operators
• Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space
• The abstract Birman-Schwinger principle and spectral stability

Cited by in corpus (2)

• Keller-type bounds for Dirac operators perturbed by rigid potentials
• The relativistic rotated harmonic oscillator