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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 Melgaard
The 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.

History

Publication status

  • Published

Journal

Communications in Partial Differential Equations

ISSN

0360-5302

Publisher

Taylor & Francis

Issue

8

Volume

39

Page range

1451-1478

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2014-05-18

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