Spin-other-orbit operator in the tensorial form of second quantization
Abstract
The tensorial form of the spin-other-orbit interaction operator in the formalism of second quantization is presented. Such an expression is needed to calculate both diagonal and off-diagonal matrix elements according to an approach, based on a combination of second quantization in the coupled tensorial form, angular momentum theory in three spaces (orbital, spin and quasispin), and a generalized graphical technique. One of the basic features of this approach is the use of tables of standard quantities, without which the process of obtaining matrix elements of spin-other-orbit interaction operator between any electron configurations is much more complicated. Some special cases are shown for which the tensorial structure of the spin-other-orbit interaction operator reduces to an unusually simple form.
Cite
@article{arxiv.physics/0405092,
title = {Spin-other-orbit operator in the tensorial form of second quantization},
author = {G. Gaigalas and A. Bernotas and Z. Rudzikas and C. Froese Fischer},
journal= {arXiv preprint arXiv:physics/0405092},
year = {2009}
}