THE BASIS FUNCTIONS AND THE MATRIX REPRESENTATIONS OF THE SINGLE AND DOUBLE ICOSAHEDRAL POINT GROUP

被引：17

作者：

SHIRAI, K

机构：

[1] The Institute of Scientific and Industrial Research, Osaka University, Ibaraki, Osaka 567

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1992年 / 61卷 / 08期

关键词：

ICOSAHEDRAL POINT GROUP; BASIS FUNCTION; SYMMETRY-ADAPTED FUNCTION; MATRIX REPRESENTATION; KUBIC HARMONICS; FINITE GROUP THEORY; POLYHEDRON-BASED SOLIDS;

D O I：

10.1143/JPSJ.61.2735

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For the single and double icosahedral group, the matrix representations and the basis functions of the irreducible representations have been calculated. The basis functions are sought in real spherical harmonics (l less-than-or-equal-to 59) for the single group, and in spinors-composed of orbital angular momentum l and one-half spin (total momentum j less-than-or-equal-to 9/2 and l less-than-or-equal-to 4)-for the double group.

引用

页码：2735 / 2747

页数：13

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