General method for the reduction of the effective rotational hamiltonian of molecules. Rational approximants and Padé approximants

Vl G. Tyuterev, A. V. Burenin, V. I. Perevalov, V. I. Starikov

    Research output: Contribution to journalArticle

    Abstract

    A general method for reducing the effective rotational Hamiltonian for molecules Hrot to the empirically constructed form in the {J±, Jz} representation (molecules of the asymmetric-top type), applicable to Hamiltonians having improved convergence with nonpolynomial dependence on the angular momentum Jα, is developed. Rational forms for the reduced Hrot and reduced Padé approximants for the rotational energy operator of the molecules are proposed.

    Original languageEnglish
    Pages (from-to)633-637
    Number of pages5
    JournalSoviet Physics Journal
    Volume28
    Issue number8
    DOIs
    Publication statusPublished - Aug 1985

    Fingerprint

    Hamiltonians
    Molecules
    molecules
    Angular momentum
    angular momentum
    operators
    energy

    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Engineering(all)

    Cite this

    General method for the reduction of the effective rotational hamiltonian of molecules. Rational approximants and Padé approximants. / Tyuterev, Vl G.; Burenin, A. V.; Perevalov, V. I.; Starikov, V. I.

    In: Soviet Physics Journal, Vol. 28, No. 8, 08.1985, p. 633-637.

    Research output: Contribution to journalArticle

    Tyuterev, Vl G. ; Burenin, A. V. ; Perevalov, V. I. ; Starikov, V. I. / General method for the reduction of the effective rotational hamiltonian of molecules. Rational approximants and Padé approximants. In: Soviet Physics Journal. 1985 ; Vol. 28, No. 8. pp. 633-637.
    @article{33bdfca1ae75494fb6f41b8092e91373,
    title = "General method for the reduction of the effective rotational hamiltonian of molecules. Rational approximants and Pad{\'e} approximants",
    abstract = "A general method for reducing the effective rotational Hamiltonian for molecules Hrot to the empirically constructed form in the {J±, Jz} representation (molecules of the asymmetric-top type), applicable to Hamiltonians having improved convergence with nonpolynomial dependence on the angular momentum Jα, is developed. Rational forms for the reduced Hrot and reduced Pad{\'e} approximants for the rotational energy operator of the molecules are proposed.",
    author = "Tyuterev, {Vl G.} and Burenin, {A. V.} and Perevalov, {V. I.} and Starikov, {V. I.}",
    year = "1985",
    month = "8",
    doi = "10.1007/BF00895163",
    language = "English",
    volume = "28",
    pages = "633--637",
    journal = "Russian Physics Journal",
    issn = "1064-8887",
    publisher = "Consultants Bureau",
    number = "8",

    }

    TY - JOUR

    T1 - General method for the reduction of the effective rotational hamiltonian of molecules. Rational approximants and Padé approximants

    AU - Tyuterev, Vl G.

    AU - Burenin, A. V.

    AU - Perevalov, V. I.

    AU - Starikov, V. I.

    PY - 1985/8

    Y1 - 1985/8

    N2 - A general method for reducing the effective rotational Hamiltonian for molecules Hrot to the empirically constructed form in the {J±, Jz} representation (molecules of the asymmetric-top type), applicable to Hamiltonians having improved convergence with nonpolynomial dependence on the angular momentum Jα, is developed. Rational forms for the reduced Hrot and reduced Padé approximants for the rotational energy operator of the molecules are proposed.

    AB - A general method for reducing the effective rotational Hamiltonian for molecules Hrot to the empirically constructed form in the {J±, Jz} representation (molecules of the asymmetric-top type), applicable to Hamiltonians having improved convergence with nonpolynomial dependence on the angular momentum Jα, is developed. Rational forms for the reduced Hrot and reduced Padé approximants for the rotational energy operator of the molecules are proposed.

    UR - http://www.scopus.com/inward/record.url?scp=0022104776&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=0022104776&partnerID=8YFLogxK

    U2 - 10.1007/BF00895163

    DO - 10.1007/BF00895163

    M3 - Article

    VL - 28

    SP - 633

    EP - 637

    JO - Russian Physics Journal

    JF - Russian Physics Journal

    SN - 1064-8887

    IS - 8

    ER -