Theory of relaxation parameters of the spectrum shape in the impact approximation-I

General consideration

M. R. Cherkasov

    Research output: Contribution to journalArticle

    12 Citations (Scopus)

    Abstract

    The theory of relaxation parameters of the spectrum shape in the impact approximation is constructed as a limit case of the Fano general relaxation theory of pressure broadening. The Fano binary collision relaxation matrix is presented in the integral form and after the impact approximation is introduced it is expressed through the scattering matrix in the Liouville space of the absorbing molecule and the bath particle. By means of introducing the scattering matrix eigenvectors and solving the evolution equation in the matrix form, the method suitable for the calculation of the whole set of impact relaxation parameters of the spectrum shape has been developed.

    Original languageEnglish
    Pages (from-to)73-88
    Number of pages16
    JournalJournal of Quantitative Spectroscopy and Radiative Transfer
    Volume141
    DOIs
    Publication statusPublished - 2014

    Fingerprint

    S matrix theory
    approximation
    Scattering
    pressure broadening
    matrices
    Eigenvalues and eigenfunctions
    baths
    eigenvectors
    Molecules
    collisions
    molecules

    Keywords

    • Cross-relaxation
    • Line-mixing
    • Line-width
    • Pressure broadening
    • Spectrum shape

    ASJC Scopus subject areas

    • Spectroscopy
    • Atomic and Molecular Physics, and Optics
    • Radiation

    Cite this

    @article{d9fe1e9a1f864d5fbbac0281a82c8a40,
    title = "Theory of relaxation parameters of the spectrum shape in the impact approximation-I: General consideration",
    abstract = "The theory of relaxation parameters of the spectrum shape in the impact approximation is constructed as a limit case of the Fano general relaxation theory of pressure broadening. The Fano binary collision relaxation matrix is presented in the integral form and after the impact approximation is introduced it is expressed through the scattering matrix in the Liouville space of the absorbing molecule and the bath particle. By means of introducing the scattering matrix eigenvectors and solving the evolution equation in the matrix form, the method suitable for the calculation of the whole set of impact relaxation parameters of the spectrum shape has been developed.",
    keywords = "Cross-relaxation, Line-mixing, Line-width, Pressure broadening, Spectrum shape",
    author = "Cherkasov, {M. R.}",
    year = "2014",
    doi = "10.1016/j.jqsrt.2013.11.013",
    language = "English",
    volume = "141",
    pages = "73--88",
    journal = "Journal of Quantitative Spectroscopy and Radiative Transfer",
    issn = "0022-4073",
    publisher = "Elsevier Limited",

    }

    TY - JOUR

    T1 - Theory of relaxation parameters of the spectrum shape in the impact approximation-I

    T2 - General consideration

    AU - Cherkasov, M. R.

    PY - 2014

    Y1 - 2014

    N2 - The theory of relaxation parameters of the spectrum shape in the impact approximation is constructed as a limit case of the Fano general relaxation theory of pressure broadening. The Fano binary collision relaxation matrix is presented in the integral form and after the impact approximation is introduced it is expressed through the scattering matrix in the Liouville space of the absorbing molecule and the bath particle. By means of introducing the scattering matrix eigenvectors and solving the evolution equation in the matrix form, the method suitable for the calculation of the whole set of impact relaxation parameters of the spectrum shape has been developed.

    AB - The theory of relaxation parameters of the spectrum shape in the impact approximation is constructed as a limit case of the Fano general relaxation theory of pressure broadening. The Fano binary collision relaxation matrix is presented in the integral form and after the impact approximation is introduced it is expressed through the scattering matrix in the Liouville space of the absorbing molecule and the bath particle. By means of introducing the scattering matrix eigenvectors and solving the evolution equation in the matrix form, the method suitable for the calculation of the whole set of impact relaxation parameters of the spectrum shape has been developed.

    KW - Cross-relaxation

    KW - Line-mixing

    KW - Line-width

    KW - Pressure broadening

    KW - Spectrum shape

    UR - http://www.scopus.com/inward/record.url?scp=84897959417&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84897959417&partnerID=8YFLogxK

    U2 - 10.1016/j.jqsrt.2013.11.013

    DO - 10.1016/j.jqsrt.2013.11.013

    M3 - Article

    VL - 141

    SP - 73

    EP - 88

    JO - Journal of Quantitative Spectroscopy and Radiative Transfer

    JF - Journal of Quantitative Spectroscopy and Radiative Transfer

    SN - 0022-4073

    ER -