Clebsch-Gordan coefficients of symmetry groups

P.M. van den Broek, J.F. Cornwell

    Research output: Contribution to journalArticleAcademicpeer-review

    20 Citations (Scopus)

    Abstract

    A method is given for the determination of Clebsch-Gordan coefficients of finite groups. The Clebsch-Gordan coefficients may be arranged into vectors which are eigenvectors of certain projection matrices. It is shown how an appropriate set of orthonormal eigenvectors of these matrices may be obtained; this set gives then a unitary matrix of Clebsch-Gordan coefficients. The symmetry properties of these Clebsch-Gordan coefficients are studied with special emphasis on the crystallographic space groups.
    Original languageUndefined
    Pages (from-to)211-224
    Number of pages14
    JournalPhysica status solidi B
    Volume90
    Issue number1
    DOIs
    Publication statusPublished - 1978

    Keywords

    • EWI-10057

    Cite this

    van den Broek, P.M. ; Cornwell, J.F. / Clebsch-Gordan coefficients of symmetry groups. In: Physica status solidi B. 1978 ; Vol. 90, No. 1. pp. 211-224.
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    keywords = "EWI-10057",
    author = "{van den Broek}, P.M. and J.F. Cornwell",
    year = "1978",
    doi = "10.1002/pssb.2220900123",
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    van den Broek, PM & Cornwell, JF 1978, 'Clebsch-Gordan coefficients of symmetry groups', Physica status solidi B, vol. 90, no. 1, pp. 211-224. https://doi.org/10.1002/pssb.2220900123

    Clebsch-Gordan coefficients of symmetry groups. / van den Broek, P.M.; Cornwell, J.F.

    In: Physica status solidi B, Vol. 90, No. 1, 1978, p. 211-224.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - Clebsch-Gordan coefficients of symmetry groups

    AU - van den Broek, P.M.

    AU - Cornwell, J.F.

    PY - 1978

    Y1 - 1978

    N2 - A method is given for the determination of Clebsch-Gordan coefficients of finite groups. The Clebsch-Gordan coefficients may be arranged into vectors which are eigenvectors of certain projection matrices. It is shown how an appropriate set of orthonormal eigenvectors of these matrices may be obtained; this set gives then a unitary matrix of Clebsch-Gordan coefficients. The symmetry properties of these Clebsch-Gordan coefficients are studied with special emphasis on the crystallographic space groups.

    AB - A method is given for the determination of Clebsch-Gordan coefficients of finite groups. The Clebsch-Gordan coefficients may be arranged into vectors which are eigenvectors of certain projection matrices. It is shown how an appropriate set of orthonormal eigenvectors of these matrices may be obtained; this set gives then a unitary matrix of Clebsch-Gordan coefficients. The symmetry properties of these Clebsch-Gordan coefficients are studied with special emphasis on the crystallographic space groups.

    KW - EWI-10057

    U2 - 10.1002/pssb.2220900123

    DO - 10.1002/pssb.2220900123

    M3 - Article

    VL - 90

    SP - 211

    EP - 224

    JO - Physica status solidi B

    JF - Physica status solidi B

    SN - 0370-1972

    IS - 1

    ER -