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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 Melgaard
We 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 Theory

ISSN

1841-7744

Publisher

Theta Foundation

Issue

1

Volume

77

Page range

133-147

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Analysis and Partial Differential Equations Research Group Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2017-01-11

First Compliant Deposit (FCD) Date

2017-01-11

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