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Complex absorbing potential method for Dirac operators: clusters of resoances
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
2014 (English)In: Journal of operator theory, ISSN 0379-4024, E-ISSN 1841-7744, Vol. 71, no 1, 259-283 p.Article in journal (Refereed) Published
Abstract [en]

For both nonrelativistic and relativistic Hamiltonians, the complex absorbing potential (CAP) method has been applied extensively to cal- culate resonances in physics and chemistry. We study clusters of resonances for the perturbed Dirac operator near the real axis and, in the semiclassical limit, we establish the CAP method rigorously by showing that resonances are perturbed eigenvalues of the nonselfadjoint CAP Hamiltonian, and vice versa.

Place, publisher, year, edition, pages
2014. Vol. 71, no 1, 259-283 p.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-223458DOI: 10.7900/jot.2012feb13.1948ISI: 000334260100011OAI: oai:DiVA.org:uu-223458DiVA: diva2:713098
Available from: 2014-04-20 Created: 2014-04-20 Last updated: 2017-12-05Bibliographically approved

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Kungsman, Jimmy

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