PROPERTIES OF ELECTRON-DENSITY AND OTHER ONE-ELECTRON OBSERVABLES DERIVED FROM GENERALIZED HILLER-SUCHER-FEINBERG IDENTITIES

A generalization of the Hiller-Sucher-Feinberg (HSF) and Rassolov-Chip man identities for the electron density is presented. A companion expr ession for the electrostatic potential is derived. Properties of the e lectron density furnished by the generalized HSF identity are discusse d. In particular, the behavior in the vicinity of an arbitrary potenti al singularity and the long-range asymptotics are analyzed in detail. A simple numerical example is provided to illustrate the new theoretic al results. (C) 1998 American Institute of Physics.