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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    expansion
    molecules
    gamma function
    vibrational states
    energy levels
    exponents
    ground state
    energy

    ASJC Scopus subject areas

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

    Cite this

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    title = "Expansion of the generating-function approach for non-rigid X2Y-type molecules by means of the Borel-type summation",
    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.",
    author = "Starikov, {V. I.} and Mikha{\"i}lenko, {Semen Nikolaevich}",
    year = "2000",
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    day = "14",
    doi = "10.1088/0953-4075/33/11/314",
    language = "English",
    volume = "33",
    pages = "2141--2152",
    journal = "Journal of Physics B: Atomic, Molecular and Optical Physics",
    issn = "0953-4075",
    publisher = "IOP Publishing Ltd.",
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    TY - JOUR

    T1 - Expansion of the generating-function approach for non-rigid X2Y-type molecules by means of the Borel-type summation

    AU - Starikov, V. I.

    AU - Mikhaïlenko, Semen Nikolaevich

    PY - 2000/6/14

    Y1 - 2000/6/14

    N2 - 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.

    AB - 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.

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    U2 - 10.1088/0953-4075/33/11/314

    DO - 10.1088/0953-4075/33/11/314

    M3 - Article

    AN - SCOPUS:0033704547

    VL - 33

    SP - 2141

    EP - 2152

    JO - Journal of Physics B: Atomic, Molecular and Optical Physics

    JF - Journal of Physics B: Atomic, Molecular and Optical Physics

    SN - 0953-4075

    IS - 11

    ER -