Algebraic Expressions of Clebsch-Gordon Coefficients for the Group Chain O~+ contains C_4~+

摘要

Using the algebraic expressions of the projection operators for the group chain O~+ contains C_4~*, concise algebraic expressions of the Clebsch-Gordon (CG) coefficients are derived in the group chain O~+ contains C_4~+ for 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~+ contains C_4~+. The symmetry of the CG coefficients is also derived.