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Integral equations for different wavefunctions and their use in finding resonances
Gomel State University.
Stockholms universitet, Naturvetenskapliga fakulteten, Fysikum.
Stockholms universitet, Naturvetenskapliga fakulteten, Fysikum.
2009 (engelsk)Inngår i: Journal of Physics B: Atomic, Molecular and Optical Physics, ISSN 0953-4075, E-ISSN 1361-6455, Vol. 42, nr 4, s. 044001-Artikkel i tidsskrift (Fagfellevurdert) Published
sted, utgiver, år, opplag, sider
2009. Vol. 42, nr 4, s. 044001-
Identifikatorer
URN: urn:nbn:se:su:diva-26240DOI: 10.1088/0953-4075/42/4/044001ISI: 000263061100002OAI: oai:DiVA.org:su-26240DiVA, id: diva2:208028
Tilgjengelig fra: 2009-03-15 Laget: 2009-03-15 Sist oppdatert: 2017-12-13bibliografisk kontrollert
Inngår i avhandling
1. Ways of determining and characterising resonances in scattering processes
Åpne denne publikasjonen i ny fane eller vindu >>Ways of determining and characterising resonances in scattering processes
2009 (engelsk)Doktoravhandling, med artikler (Annet vitenskapelig)
Abstract [en]

Scattering cross sections very often display structures. To clarify if these structures correspond to resonances one has to check if they are poles of the scattering matrix (S-matrix) in the fourth quadrant of the complex momentum plane. Furthermore, the states corresponding to these poles also need to have an appropriate scattering amplitude.

The complex energies of resonances associated with several potentials were computed by solving complex dilated differential equations using both a Numerov method and a Finite Element Method as well as by solving integral equations with a δ-potentials technique combined with the complex dilation method.

The influence of resonances on the s-wave cross section for model one channel potentials was studied using the Mittag-Leffler and the Green's function expansion formalisms and comparisons made between these two approaches. It is demonstrated how the partial wave S-matrix can be continued into a sector in the fourth quadrant of the complex momentum plane where its poles and residues can be determined. These two formally equivalent methods were found to produce numerically identical S-matrix residues. However, both methods have essential drawbacks and, therefore, a technique for identifying the contribution of individual resonances to the cross section, which is based on the S-matrix residue, is suggested. This involves defining both a reduced partial wave S-matrix and reduced cross section. The technique presented here is successfully applied to the two-channel Noro-Taylor potential and a more realistic scattering process, namely the N3+ + H → NH3+ → N2+ + H+ reaction.

Note that my name can be spelt in different ways. In official documents it is Kseniya Shyliayeva but in all papers I used another spelling, namely: Ksenia Shilyaeva.

 

sted, utgiver, år, opplag, sider
Stockholm: Department of Physics, Stockholm University, 2009. s. 55
Emneord
quantum scattering theory, complex scaling, resonances
HSV kategori
Forskningsprogram
fysik
Identifikatorer
urn:nbn:se:su:diva-26218 (URN)978-91-7155-838-1 (ISBN)
Disputas
2009-04-24, FA 32, Roslagstullsbacken 21, AlbaNova universitetcentrum, 10:00 (engelsk)
Opponent
Veileder
Tilgjengelig fra: 2009-04-03 Laget: 2009-03-13 Sist oppdatert: 2009-03-17bibliografisk kontrollert

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