Algebraic expressions for symmetry-adapted functions of the icosahedral group in spinor space

Abstract

Algebraic expressions for projection operators and symmetry-adapted functions (SAFs) of the icosahedral group for spinor (double-valued) representations are found by using the double-induced technique and eigenfunction method. The SAFs are functions of the angular momentum j, the quantum numbers \lambda, \nu, \mu of the group chain I \supset D_5 \supset C_5, and the multiplicity label \bar m. By this procedure, SAFs for the group I are provided once for all instead of one j value at a time.