Resonances for the radial Dirac operators

2014/04/24 by Alexei Iantchenko, Iantchenko, Alexei, Evgeny Korotyaev +1 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Mathematics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1404.6078

openalex publication_date 2014/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the radial Dirac operator with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm determinant. We obtain the following properties of the resonances: 1) asymptotics of counting function, 2) in the massless case we get the trace formula in terms of resonances.

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• Absence of real resonances of Dirac operators

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