In many semiconductors, a biexciton can be formed as a bound state of two excitons, analogous to

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In many semiconductors, a biexciton can be formed as a bound state of two excitons, analogous to a hydrogen molecule formed from two hydrogen atoms. For the Γ6 conduction band and Γ7 and Γ8 valence bands discussed in the above example in Td symmetry, find the possible symmetries of the biexciton states by computing all the possible outer products of two exciton states.

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