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Transformation of spin projected slater determinants under orbital permutation
Author(s) -
Gallup G. A.
Publication year - 1982
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560210610
Subject(s) - slater determinant , atomic orbital , permutation (music) , transformation (genetics) , slater type orbital , spin (aerodynamics) , basis (linear algebra) , representation (politics) , symmetry (geometry) , wave function , symmetric group , physics , mathematics , quantum mechanics , theoretical physics , chemistry , pure mathematics , molecular orbital theory , geometry , electron , biochemistry , thermodynamics , politics , political science , acoustics , law , gene
This paper gives a proof that spin projected Slater determinants provide a basis for Young's natural representation of the symmetric groups under permutation of the orbitals. The general reduction of sums of spin projected Slater determinants to give functions of pure spatial symmetry type requires this transformation.