Dirac resonances as non-self-adjoint eigenvalues

Henry Dumant

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arXiv · 2607.26166

Dirac resonances as non-self-adjoint eigenvalues

Henry Dumant

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Abstract

We consider resonances of (not necessarily self-adjoint) three-dimensional Dirac operators, defined as poles of the meromorphic continuation of the resolvent. We prove that a region of the resonance set can be characterized by the discrete spectrum of distorted Dirac operators, with preservation of multiplicities. As an application, we prove Kramer's degeneracy under time-reversal symmetry.

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Henry Dumant. 2026-07-28. Dirac resonances as non-self-adjoint eigenvalues. https://arxiv.org/abs/2607.26166

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