2026/07/28 by Henry Dumant
Mathematics · #math.SP
arxiv created 2026/07/28 · arxiv updated 2026/07/30
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.