Vladimir A. Yurovsky On spin wavefunctions and young orthogonal matrices International Journal of Quantum Chemistry 113
Spin wavefunctions of a many-electron system are expressed in terms of basis functions of the Young orthogonal representation of the symmetric group with the normalization factor. An explicit expression for the first column elements of the Young orthogonal matrices is obtained by a comparison to the branching diagram wavefunctions. The presented form of spin wavefunctions leads to compact expressions for total wavefunctions as sums of Slater determinants.
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