Qs. Wang et Ge. Stedman, TIME-REVERSAL SYMMETRY AND 2-PARTICLE FERMION MANY-BODY-OPERATORS IN FN, Journal of physics. B, Atomic molecular and optical physics, 27(17), 1994, pp. 3829-3847
Time reversal selection rules (TRSRs) are given for atomic electron op
erators in the Racah group chain, in particular, for orthogonal time-e
ven/odd many-body operators at the Sp4l+2 and SU2S x SO3L levels. The
complementary effects of TRSRs at different levels in a group chain an
d the consistency of TRSRs within a product group are discussed. Appli
cations of these TRSRs are made to correlation crystal field theory, T
rees operator contributions from second-order Coulomb interaction, and
certain time-even two-body scalar operators used in evaluating the en
ergy structure of many-electron systems.