J. Planelles et J. Karwowski, TRACES OF THE REDUCED DENSITY OPERATORS REVISITED - CLOSED-FORM FORMULAS, Journal of physics. A, mathematical and general, 30(9), 1997, pp. 3219-3227
Closed-form expressions for traces of the qth-order reduced density op
erators, q-RDOs, and symmetry-adapted q-RDOs calculated in an N-electr
on and spin-adapted subspace of a K-orbital Fock space are derived. Th
e asymptotic form of the expression for traces of the q-RDOs, correspo
nding to K >> N and K >> N >> q limits, is discussed in detail. Severa
l identities fulfilled by some quantities related to the traces are de
rived.