Irreducible bases and correlations of spin states for double point groups

Details Irreducible bases and correlations of spin states for double point groups Irreducible bases and correlations of spin states for double point groups

1998-11-28

arxiv.org/abs/math-ph/9811026v1

Physics

Mathematical Physics

Latex file 16 pages,no figure

Scientific paper

In terms of the irreducible bases of the group space of the octahedral double group {\bf O'}, an analytic formula is obtained to combine the spin states $|j,\mu \rangle$ into the symmetrical adapted bases, belonging to a given row of a given irreducible representation of {\bf O'}. This method is effective for all double point groups. However, for the subgroups of {\bf O'}, there is another way to obtain those combinations. As an example, the correlations of spin states for the tetrahedral double group {\bf T'} are calculated explicitly.

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