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Algebraic expressions of Clebsch–Gordon coefficients for the group chain O † ⊃ C † 4
Author(s) -
Fan PengDong
Publication year - 2003
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.10468
Subject(s) - chain (unit) , group (periodic table) , algebraic number , projection (relational algebra) , algebraic expression , clebsch–gordan coefficients , mathematics , quantum , group theory , mathematical physics , pure mathematics , physics , chemistry , algebra over a field , quantum mechanics , mathematical analysis , irreducible representation , algorithm
Using the algebraic expressions of the projection operators for the group chain O ⊃ C † 4 , concise algebraic expressions of the Clebsch–Gordon (CG) coefficients are derived in the group chain O ⊃ C † 4for both single‐valued and double‐valued representations. The simplicity of the expressions is that they are merely functions of the quantum numbers of the group chain O ⊃ C † 4 . The symmetry of the CG coefficients is also derived. © 2003 Wiley Periodicals, Inc. Int J Quantum Chem, 2003