The Permutation Group in Atomic Structure
The underlying antisymmetry of the fermion states that comprise an atomic shell makes itself felt in its most obvious way in the Slater determinantal product states. The use of these basis states is compared to the methods of Racah, to an approach based on quasiparticles, and to the unitary calculus of Harter. The calculation of the reduced matrix element of a quadrupolar tensor for the 4P term of g3 is taken as a running example.
KeywordsPermutation Group Spinor Representation Slater Determinant Atomic Shell Reduce Matrix Element
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