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  • 1.
    Elander, Nils
    et al.
    Stockholm University, Faculty of Science, Department of Physics.
    Shilyaeva, Ksenia
    Stockholm University, Faculty of Science, Department of Physics.
    Ostrovsky, Valentin
    V. Fock Institute of Physics, St. Petersburg State University.
    Yarevsky, Evgeny
    St. Petersburg State University.
    Rakityanski, Sergey
    University of South Africa.
    Tools for assigning resonance structures in collisions of few body quantum systems2006In: Few-body systems, ISSN 0177-7963, E-ISSN 1432-5411, Vol. 38, no 2-4, p. 109-114Article in journal (Refereed)
  • 2.
    Kapshai, Valery
    et al.
    Gomel State University.
    Shilyaeva, Ksenia
    Stockholm University, Faculty of Science, Department of Physics.
    Elander, Nils
    Stockholm University, Faculty of Science, Department of Physics.
    Integral equations for different wavefunctions and their use in finding resonances2009In: Journal of Physics B: Atomic, Molecular and Optical Physics, ISSN 0953-4075, E-ISSN 1361-6455, Vol. 42, no 4, p. 044001-Article in journal (Refereed)
  • 3.
    Kapshai, Valery
    et al.
    Gomel State University.
    Shilyaeva, Ksenia
    Stockholm University, Faculty of Science, Department of Physics.
    Elander, Nils
    Stockholm University, Faculty of Science, Department of Physics.
    Integral equations for the Jost solutions and decaying resonance states2006In: Proceedings of the Gomel State University, 2006, Vol. 6, p. 3-8Conference paper (Refereed)
  • 4.
    Shilyaeva, Ksenia
    Stockholm University, Faculty of Science, Department of Physics.
    Ways of determining and characterising resonances in scattering processes2009Doctoral thesis, comprehensive summary (Other academic)
    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.

     

  • 5.
    Shilyaeva, Ksenia
    et al.
    Stockholm University, Faculty of Science, Department of Physics.
    Elander , Nils
    Yarevsky, Evgeny
    Role of resonances in building cross sections: A comparison between the Mittag-Leffler and the Lippman Schwiger approaches2007In: International Journal of Quantum Chemistry, ISSN 0020-7608, E-ISSN 1097-461X, Vol. 107, no 6, p. 1301-1315Article in journal (Refereed)
  • 6.
    Shilyaeva, Ksenia
    et al.
    Stockholm University, Faculty of Science, Department of Physics.
    Elander, Nils
    Stockholm University, Faculty of Science, Department of Physics.
    Yarevsky, Evgeny
    St. Petersburg State University.
    The role of resonances in building cross sections: The Mittag-Leffler expansion in a two channel scattering2009In: International Journal of Quantum Chemistry, ISSN 0020-7608, E-ISSN 1097-461X, Vol. 109, no 3, p. 414-424Article in journal (Refereed)
  • 7.
    Shilyaeva, Ksenia
    et al.
    Stockholm University, Faculty of Science, Department of Physics.
    Yarevsky, Evgeny
    St. Petersburg State University.
    Elander, Nils
    Stockholm University, Faculty of Science, Department of Physics.
    Identifying resonance structures in a scattering cross section using the N3+ + H -> NH3+ -> N2+ + H+ reaction as an example2009In: Journal of Physics B: Atomic, Molecular and Optical Physics, ISSN 0953-4075, E-ISSN 1361-6455, Vol. 42, no 4, p. 044011-Article in journal (Refereed)
1 - 7 of 7
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