H. Schmider et Vh. Smith, A SPHERICALLY AVERAGED REPRESENTATION OF THE ATOMIC ONE-PARTICLE REDUCED DENSITY-MATRIX, Theoretica Chimica Acta, 86(1-2), 1993, pp. 115-127
A new way of representing the one-particle reduced density matrix (ODM
) of closed-shell atoms in a spherically averaged manner is presented,
and connections of this representation to the radial density distribu
tion D(R) and the isotropic reciprocal form factor B(s) are shown. In
this representation, certain characteristics of the angular nodal stru
cture of the natural orbitals (NOs) are preserved. Examples of hydroge
nic orbitals and near-Hartree-Fock wave functions for some closed-shel
l atoms are given.