Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators
arXiv:2104.13647 · doi:10.1016/j.na.2021.112565
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.
arXiv comment15 pages
References in corpus (7)
- Eigenvalue bounds for Schrödinger operators with complex potentials
- Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers
- Estimates for eigenvalues of Schrödinger operators with complex-valued potentials
- Location of eigenvalues of non-self-adjoint discrete Dirac operators
- Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators
- Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space
- The abstract Birman-Schwinger principle and spectral stability