Spin-other-orbit operator in the tensorial form of second quantization

Details Spin-other-orbit operator in the tensorial form of second quantization Spin-other-orbit operator in the tensorial form of second quantization

2004-05-18

arxiv.org/abs/physics/0405092v1

Physica Scripta 57 (1998) 207-212

Physics

Atomic Physics

Scientific paper

10.1088/0031-8949/57/2/008

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.

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