Structure of the 12j and 15j coefficients in the Bargmann approach | Zendy

ChengSheng Huang | Zendy; Alfred C. T. Wu | Zendy

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Structure of the 12j and 15j coefficients in the Bargmann approach

Author(s) -

ChengSheng Huang,

Alfred C. T. Wu

Publication year - 1974

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1666837

Subject(s) - formalism (music) , angular momentum , physics , symmetry (geometry) , mathematical physics , representation (politics) , symmetry group , theoretical physics , mathematics , classical mechanics , mathematical analysis , geometry , art , musical , politics , political science , law , visual arts

Generating functions of the 12j and 15j angular momentum recoupling coefficients are computed explicitly in the Bargmann formalism. Symmetry properties are deduced therefrom. A geometrical Möbius strip representation (originally due to Ord‐Smith for the 12j case), which can be generalized to all n, suggests a 4n‐fold symmetry for the 3nj coefficients (n ≥ 4)

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