Note on the density matrix for an arbitrary number of closed shells in a bare Coulomb field

Research paper by Pawel M. Kozlowski

Indexed on: 01 Sep '92Published on: 01 Sep '92Published in: Journal of mathematical chemistry


An explicit relation between the density matrix and its s-state part is analyzed for electron closed shells moving in a bare Coulomb potential. The density matrix has a simple separable form in terms ofr1 +r2 and |r1 −r2|. It is demonstrated that for an arbitrary number of closed shells, the off-diagonal dependence is simply polynomial in the |r1 −r2| coordinate.