Dirac resonances as non-self-adjoint eigenvalues
arXiv:2607.26166
summary
The paper studies resonances of three‑dimensional Dirac operators that are not necessarily self‑adjoint, showing they can be identified with eigenvalues of distorted operators and proving Kramers degeneracy under time‑reversal symmetry.
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.
Topics & keywords
#dirac operators#resonances#non-self-adjoint#spectral theory#time-reversal symmetryDirac operatorresonancenon-self-adjoint eigenvaluemeromorphic continuationKramers degeneracy