A criterion for the existence of nonreal eigenvalues for a Dirac operator

zbMath1341.35094arXiv1508.02434MaRDI QIDQ302298

Diomba Sambou

Publication date: 5 July 2016

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02434

zbMATH Keywords

Dirac operatorsdiscrete spectrumcomplex perturbationsnonreal eigenvalues

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

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A simple criterion for the existence of nonreal eigenvalues for a class of 2D and 3D Pauli operators ⋮ Eigenvalue bounds for non-selfadjoint Dirac operators ⋮ The abstract Birman-Schwinger principle and spectral stability ⋮ Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators ⋮ Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers ⋮ Eigenvalue bounds and spectral stability of Lamé operators with complex potentials ⋮ Location of eigenvalues of non-self-adjoint discrete Dirac operators

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