Inhomogeneous electron liquid: Differential equation satisfied by diagonal element of Coulomb bound s-state green function
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abstract
Because of density functional theory, attention has shifted from density matrices and Green functions to their diagonal elements. Here, an explicit partial differential equation is given for the diagonal elements of the bound state Green function for the s-states only. Relation to earlier work in terms of Whittaker functions is briefly discussed, for the Coulomb field case.