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

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Juršėnas R., Merkelis G.

Open Physics

2011

vol. 9

issue 3

751-774

A three-particle operator in a second quantized form is studied systematically and comprehensively. The operator is transformed into irreducible tensor form. Possible coupling schemes, identified by the classes of symmetric group S6, are presented. Recoupling coefficients that make it possible to transform a given scheme into another are produced by using the angular momentum theory combined with quasispin formalism. The classification of the 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.

Coupled tensorial form for atomic relativistic two-particle operator given in second quantization representation

100%

Juršėnas R., Merkelis G.

General formulas of the two-electron operator representing either atomic or effective interactions are given in a coupled tensorial form in relativistic approximation. The alternatives of using uncoupled, coupled and antisymmetric two-electron wave functions in constructing coupled tensorial form of the operator are studied. The second quantization technique is used. The considered operator acts in the space of states of open-subshell atoms.

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2 Open Physics

1 2011

1 2010

2 Juršėnas R.

2 Merkelis G.

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

Coupled tensorial form for atomic relativistic two-particle operator given in second quantization representation