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

PD Fan; JQ Chen; JP Draayer

doi:10.1107/s0108767399010272

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

Acta Crystallogr A. 1999 Nov 1;55(Pt 6):1049-1060. doi: 10.1107/s0108767399010272.

Authors

PD Fan¹, JQ Chen, JP Draayer

Affiliation

¹ Department of Physics, Nanjing University, Nanjing 210093, People's Republic of China.

PMID: 10927322
DOI: 10.1107/s0108767399010272

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, µ of the group chain I superset D(5) superset 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.