Orthogonalising pseudo-potentials in scattering calculations

I Ivanov, James Mitroy, Michael Bromley

    Research output: Contribution to journalArticleResearchpeer-review

    Abstract

    The Orthogonalising Pseudo-Potential (OPP) introduced by Kukulin and Krasnopolsky is applied to scattering problems. Two simple models admitting analytic solution were used to illustrate the behaviour of the scattering states as a function of the OPP strength parameter. These were a system with a zero-range potential having one bound state, and free particle scattering subject to an orthogonality constraint. Application of the OPP to electron scattering from helium in a modified static exchange model, and Ps scattering from He in an s-wave model, were used to demonstrate that the results derived from the model-potential analysis are also valid in a numerical calculations. � 2002 Elsevier Science B.V. All rights reserved.
    Original languageEnglish
    Pages (from-to)9-24
    Number of pages16
    JournalComputer Physics Communications
    Volume152
    Issue number1
    Publication statusPublished - 2003

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    Scattering
    scattering
    Electron scattering
    orthogonality
    Helium
    electron scattering
    helium

    Cite this

    Ivanov, I., Mitroy, J., & Bromley, M. (2003). Orthogonalising pseudo-potentials in scattering calculations. Computer Physics Communications, 152(1), 9-24.
    Ivanov, I ; Mitroy, James ; Bromley, Michael. / Orthogonalising pseudo-potentials in scattering calculations. In: Computer Physics Communications. 2003 ; Vol. 152, No. 1. pp. 9-24.
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    abstract = "The Orthogonalising Pseudo-Potential (OPP) introduced by Kukulin and Krasnopolsky is applied to scattering problems. Two simple models admitting analytic solution were used to illustrate the behaviour of the scattering states as a function of the OPP strength parameter. These were a system with a zero-range potential having one bound state, and free particle scattering subject to an orthogonality constraint. Application of the OPP to electron scattering from helium in a modified static exchange model, and Ps scattering from He in an s-wave model, were used to demonstrate that the results derived from the model-potential analysis are also valid in a numerical calculations. � 2002 Elsevier Science B.V. All rights reserved.",
    keywords = "Boundary conditions, Computer simulation, Mathematical models, Problem solving, Scattering calculation, Electron scattering",
    author = "I Ivanov and James Mitroy and Michael Bromley",
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    language = "English",
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    Ivanov, I, Mitroy, J & Bromley, M 2003, 'Orthogonalising pseudo-potentials in scattering calculations', Computer Physics Communications, vol. 152, no. 1, pp. 9-24.

    Orthogonalising pseudo-potentials in scattering calculations. / Ivanov, I; Mitroy, James; Bromley, Michael.

    In: Computer Physics Communications, Vol. 152, No. 1, 2003, p. 9-24.

    Research output: Contribution to journalArticleResearchpeer-review

    TY - JOUR

    T1 - Orthogonalising pseudo-potentials in scattering calculations

    AU - Ivanov, I

    AU - Mitroy, James

    AU - Bromley, Michael

    PY - 2003

    Y1 - 2003

    N2 - The Orthogonalising Pseudo-Potential (OPP) introduced by Kukulin and Krasnopolsky is applied to scattering problems. Two simple models admitting analytic solution were used to illustrate the behaviour of the scattering states as a function of the OPP strength parameter. These were a system with a zero-range potential having one bound state, and free particle scattering subject to an orthogonality constraint. Application of the OPP to electron scattering from helium in a modified static exchange model, and Ps scattering from He in an s-wave model, were used to demonstrate that the results derived from the model-potential analysis are also valid in a numerical calculations. � 2002 Elsevier Science B.V. All rights reserved.

    AB - The Orthogonalising Pseudo-Potential (OPP) introduced by Kukulin and Krasnopolsky is applied to scattering problems. Two simple models admitting analytic solution were used to illustrate the behaviour of the scattering states as a function of the OPP strength parameter. These were a system with a zero-range potential having one bound state, and free particle scattering subject to an orthogonality constraint. Application of the OPP to electron scattering from helium in a modified static exchange model, and Ps scattering from He in an s-wave model, were used to demonstrate that the results derived from the model-potential analysis are also valid in a numerical calculations. � 2002 Elsevier Science B.V. All rights reserved.

    KW - Boundary conditions

    KW - Computer simulation

    KW - Mathematical models

    KW - Problem solving

    KW - Scattering calculation

    KW - Electron scattering

    M3 - Article

    VL - 152

    SP - 9

    EP - 24

    JO - Computer Physics Communications

    JF - Computer Physics Communications

    SN - 0010-4655

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    ER -