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Poisson wave trace formula for perturbed Dirac operators
journal contribution
posted on 2023-06-09, 04:38 authored by J Kungsman, Michael MelgaardMichael MelgaardWe consider self-adjoint Dirac operators D = D0 + V(x), where D0 is the free three-dimensional Dirac operator and V(x) is a smooth compactly supported Hermitian matrix. We define resonances of D as poles of the meromorphic continuation of its cut-off resolvent. An upper bound on the number of resonances in disks, an estimate on the scattering determinant and the Lifshits-Krein trace formula then leads to a global Poisson wave trace formula for resonances of D.
History
Publication status
- Published
File Version
- Accepted version
Journal
Journal of Operator TheoryISSN
1841-7744Publisher
Theta FoundationExternal DOI
Issue
1Volume
77Page range
133-147Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Analysis and Partial Differential Equations Research Group Publications
Full text available
- No
Peer reviewed?
- Yes