Irreducible tensor form of three-particle operator for open-shell atoms

Details Irreducible tensor form of three-particle operator for open-shell atoms Irreducible tensor form of three-particle operator for open-shell atoms

2010-04-29

arxiv.org/abs/1004.5246v1

Physics

Atomic Physics

Scientific paper

The three-particle operator in a second quantized form is studied. The operator is transformed into irreducible tensor form. Possible coupling schemes, distinguished by the classes of symmetric group \mathrm{S_{6}}, are presented. Recoupling coefficients, which allow one to transform given scheme into another, are produced by using the angular momentum theory, combined with quasispin formalism. The classification of three-particle operator, which acts on n=1,2,...,6 open shells of equivalent electrons of atom, is considered. The procedure to construct three-particle matrix elements are examined.

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