Irreducible bases in icosahedral group space

Details Irreducible bases in icosahedral group space Irreducible bases in icosahedral group space

1998-11-28

arxiv.org/abs/math-ph/9811025v1

Physics

Mathematical Physics

Revtex 16 pages

Scientific paper

The irreducible bases in the icosahedral group space are calculated explicitly by reducing the regular representation. The symmetry adapted bases of the system with {\bf I} or {\bf I}$_{h}$ symmetry can be calculated easily and generally by applying those irreducible bases to wavefunctions of the system, if they are not vanishing. As examples, the submatrices of the H\"{u}ckel Hamiltonians for Carbon-60 and Carbon-240 are re-calculated by the irreducible bases.

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