Irreducible tensor form of three-particle operator for open-shell atoms
Atomic Physics
2018-02-14 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1004.5246,
title = {Irreducible tensor form of three-particle operator for open-shell atoms},
author = {Rytis Jursenas and Gintaras Merkelis},
journal= {arXiv preprint arXiv:1004.5246},
year = {2018}
}