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The tensorial form of the spin-other-orbit interaction operator in theformalism of second quantization is presented. Such an expression is needed tocalculate both diagonal and off-diagonal matrix elements according to anapproach, based on a combination of second quantization in the coupledtensorial form, angular momentum theory in three spaces (orbital, spin andquasispin), and a generalized graphical technique. One of the basic features ofthis approach is the use of tables of standard quantities, without which theprocess of obtaining matrix elements of spin-other-orbit interaction operatorbetween any electron configurations is much more complicated. Some specialcases are shown for which the tensorial structure of the spin-other-orbitinteraction operator reduces to an unusually simple form

Spin-other-orbit Operator in the Tensorial Form of Second Quantization