arXiv subjects

Henry Dumant

Publications and source records attributed to Henry Dumant.

2 recordsLinked to original sources

arXiv2026

Dirac resonances as non-self-adjoint eigenvalues

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.

math.SP↗

arXiv2025

Absence of real resonances of Dirac operators

The purpose of this paper is to introduce the resonances of Dirac operators by continuing meromorphically the truncated resolvent and to establish a result about their localization : a kind of Rellich Theorem. Firstly, we consider the case of the Dirac operator in an external field which is essentially bounded and compactly supported. Secondly, we consider the case of the MIT bag model outside a smooth and bounded obstacle.

math.SP↗