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Complex absorbing potential method for the perturbed Dirac operator
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: Communications in Partial Differential Equations, ISSN 0360-5302, E-ISSN 1532-4133, Vol. 39, no 8, 1451-1478 p.Article in journal (Refereed) Published
Abstract [en]

The Complex Absorbing Potential (CAP) method is widely used to compute resonances in Quantum Chemistry, both for nonrelativis- tic and relativistic Hamiltonians. In the semiclassical limit h → 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 pseudod- ifferential operator theory and microlocal analysis.

Place, publisher, year, edition, pages
2014. Vol. 39, no 8, 1451-1478 p.
National Category
Mathematical Analysis
Research subject
URN: urn:nbn:se:uu:diva-223457DOI: 10.1080/03605302.2014.908910ISI: 000340490700003OAI: oai:DiVA.org:uu-223457DiVA: diva2:713096
Available from: 2014-04-20 Created: 2014-04-20 Last updated: 2014-09-12Bibliographically approved

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Kungsman, Jimmy
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