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Integral equations and complex resonance energies for analytical potentials
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
2007 (English)In: International Journal of Quantum Chemistry, ISSN 0020-7608, E-ISSN 1097-461X, Vol. 107, no 5, 1029-1039 p.Article in journal (Refereed) Published
Abstract [en]

It is shown that the Volterra integral equation in combination with complex scaling gives a formalism capable to solve Schrodinger-type problems concerning bound states and resonances. The regular solution of the Schrodinger equation presented at the Volterra integral equation allows us to define the explicit form of the Jost function analytically continued into the lower half complex momentum plane. The resulting formalism is used to develop a numerical method for finding resonances defined as zeros of the Jost function. The numerical method is tested on several analytical potentials; it gives good results for arbitrary orbital momentum l.

Place, publisher, year, edition, pages
2007. Vol. 107, no 5, 1029-1039 p.
Keyword [en]
complex scaling, integral equations, resonances
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-57101DOI: 10.1002/qua.21229ISI: 000244134200001OAI: oai:DiVA.org:su-57101DiVA: diva2:415736
Note
authorCount :3Available from: 2011-05-09 Created: 2011-05-03 Last updated: 2017-12-11Bibliographically approved

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Kapshai, ValeryAlferova, TatjanaElander, Nils
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