The Coulomb Green's function in IR3 and its relation to the harmonic oscillator in IR4

W. J. Briels*

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    Abstract

    A very simple derivation of the Coulomb Green's function in IR3 is presented, which is based on an application of the Kustaanheimo–Stiefel transformation directly to the equation defining the harmonic oscillator Green's function in IR4. The representation that we obtain makes it possible to Fourier transform the Green's function with respect to its space variables by means of a simple Gaussian integration. The method that we use can readily be applied to several other Hamiltonians.

    Original languageEnglish
    Pages (from-to)349-359
    Number of pages11
    JournalInternational Journal of Quantum Chemistry
    Volume32
    Issue number3
    DOIs
    Publication statusPublished - Sep 1987

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