Expansion of the generating-function approach for non-rigid X2Y-type molecules by means of the Borel-type summation

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    Abstract

    The application of the generating-function approach in the Borel-type summation method leads to a new kind of generating function for an effective rotational Hamiltonian of non-rigid X2Y-type molecules. These functions are based on the incomplete gamma function Γ(a, x). The integrand exponent parameter a determines the asymptotic behaviour of the calculated energy levels. A new type of generating function was tested in the calculations of rotational energies of the (040) vibrational state of H2O and the ground state of CH2 molecules.

    Original languageEnglish
    Pages (from-to)2141-2152
    Number of pages12
    JournalJournal of Physics B: Atomic, Molecular and Optical Physics
    Volume33
    Issue number11
    DOIs
    Publication statusPublished - 14 Jun 2000

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    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Atomic and Molecular Physics, and Optics

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