Spectral enclosure estimates for non-self-adjoint Dirac operators

Jeffrey Oregero

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arXiv · 2504.02236

Spectral enclosure estimates for non-self-adjoint Dirac operators

Jeffrey Oregero

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Abstract

We study the spectrum of a periodic non-self-adjoint Dirac operator, and its dependence on a semiclassical parameter is also considered. Several bounds on the spectrum are obtained which provide sharp spectral enclosure estimates. Importantly, a sufficient condition is obtained which ensures semiclassical spectral confinement to the real axis and a bounded subset of the imaginary axis of the spectral plane.

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BibTeX RIS

Jeffrey Oregero. 2025-04-03. Spectral enclosure estimates for non-self-adjoint Dirac operators. https://arxiv.org/abs/2504.02236

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