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Irreducible bases in icosahedral group space

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

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_{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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Cite

@article{arxiv.math-ph/9811025,
  title  = {Irreducible bases in icosahedral group space},
  author = {Shi-Hai Dong and Xi-Wen Hou and Zhong-Qi Ma},
  journal= {arXiv preprint arXiv:math-ph/9811025},
  year   = {2007}
}

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Revtex 16 pages

R2 v1 2026-07-22T16:29:47.403Z