Dirac resonances as non-self-adjoint eigenvalues

Henry Dumant

Dirac resonances as non-self-adjoint eigenvalues

Spectral Theory 2026-07-28 v1

Authors: Henry Dumant

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.

Cite

@article{arxiv.2607.26166,
  title  = {Dirac resonances as non-self-adjoint eigenvalues},
  author = {Henry Dumant},
  journal= {arXiv preprint arXiv:2607.26166},
  year   = {2026}
}