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Phase-fixed double-group 3-Γ symbols. III. Real 3-Γ symbols and coupling coefficients for the dihedral double groups

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Abstract

For the infinite dihedral double group D * ∞ and the finite dihedral double groups D *2 through D *6 ; D *8 ; D *10 ; and D *12 , we present various choices of standard unitary irreducible matrix representations and discuss properties of corresponding 3-Γ symbols. The presentation follows a recent exposition of the general theory of 3-Γ symbols and coupling coefficients [1] and a companion description of general features of double groups and their irreps and 3-Γ symbols [2].

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  1. Ture Damhus

    Present address: Department of Pharmaceutical Chemistry AD, Royal Danish School of Pharmacy, Universitetsparken 2, DK-2100, Copenhagen Ø, Denmark

Authors and Affiliations

  1. Chemistry Department I, H. C. Ørsted Institute, University of Copenhagen, Universitetsparken 5, DK-2100, Copenhagen Ø, Denmark

    Ture Damhus, Sven E. Harnung & Claus E. Schäffer

Authors
  1. Ture Damhus
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  2. Sven E. Harnung
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  3. Claus E. Schäffer
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Damhus, T., Harnung, S.E. & Schäffer, C.E. Phase-fixed double-group 3-Γ symbols. III. Real 3-Γ symbols and coupling coefficients for the dihedral double groups. Theoret. Chim. Acta 65, 389–404 (1984). https://doi.org/10.1007/BF00550836

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  • DOI: https://doi.org/10.1007/BF00550836

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