MACKEY THEOREM AND 2-ELECTRON WAVE-FUNCTION OF A MULTICENTER SYSTEM

The two-electron wave function in a system of many equivalent atoms is investigated group-theoretically. It is shown that the classification of different types of two-electron (two-hole) localizations can be ma de by the double-coset decomposition of the symmetry group with respec t to the local subgroup, and that the group appearing in the Mackey th eorem can be used for the additional classification of states. The Mac key theorem on symmetrized squares and the generalized Frobenius recip rocity theorem are applied to the construction of two-electron states in octahedral symmetry.