Irreducible bases in icosahedral group space
نویسندگان
چکیده
The irreducible bases in the icosahedral group space are calculated explicitly by reducing the regular representation. The symmetry adapted bases of the system with I or Ih 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 Hückel Hamiltonians for Carbon-60 and Carbon-240 are re-calculated by the irreducible bases.
منابع مشابه
Correlations of spin states for icosahedral double group
The irreducible bases of the group space of the icosahedral double groups I’ and Ih are calculated explicitly. Applying those bases on the spin states |j, μ〉, we present a simple formula to combine the spin states into the symmetrical adapted bases, belonging to a given row of a given irreducible representations of I’ and Ih.
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