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Complex absorbing potential method for the perturbed Dirac operator
journal contribution
posted on 2023-06-08, 17:20 authored by J Kungsman, Michael MelgaardMichael MelgaardThe Complex Absorbing Potential (CAP) method is widely used to compute resonances in Quantum Chemistry, both for nonrelativistic and relativistic Hamiltonians. In the semiclassical limit $\hbar \to 0$ we consider resonances near the real axis and we establish the CAP method rigorously for the perturbed Dirac operator by proving that individual resonances are perturbed eigenvalues of the nonselfadjoint CAP Hamiltonian, and vice versa. The proofs are based on pseudodifferential operator theory and microlocal analysis.
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Publication status
- Published
Journal
Communications in Partial Differential EquationsISSN
0360-5302Publisher
Taylor & FrancisExternal DOI
Issue
8Volume
39Page range
1451-1478Department affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2014-05-18Usage metrics
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