The use of continued fractions to describe the highly excited rotational states of a H2O molecule

V. I. Starikov

    Research output: Contribution to journalArticle

    Abstract

    Continued fractions D(a, x) were used in the analysis of the highly excited (J ≤ 42, Ka ≤ 32) rotational levels of the first eight vibrational states of a H2 16O molecule. The fractions depend on the rotational operator Jz, defined by the variable x, and the shape parameter a, which determines the asymptotic behavior of the calculated energy levels. Continued fractions D(a, x) are new forms of the generating functions for the effective rotational Hamiltonian of some nonrigid molecule of the H2X type.

    Original languageEnglish
    Pages (from-to)165-168
    Number of pages4
    JournalAtmospheric and Oceanic Optics
    Volume23
    Issue number3
    DOIs
    Publication statusPublished - 1 Jun 2010

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    rotational states
    energy
    molecules
    vibrational states
    energy levels
    operators
    parameter
    analysis

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics
    • Atmospheric Science
    • Earth-Surface Processes
    • Oceanography

    Cite this

    The use of continued fractions to describe the highly excited rotational states of a H2O molecule. / Starikov, V. I.

    In: Atmospheric and Oceanic Optics, Vol. 23, No. 3, 01.06.2010, p. 165-168.

    Research output: Contribution to journalArticle

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