The ground-state wave function Ψ for a given force constant k = 1/4 a.u. of the two-electron Hookean atom is known in exact analytical form. Here the corresponding first-order density matrix γ(r, r′) is studied, particular attention being focussed on its equation of motion. The exact form which results from the known Ψ is displayed, and given a physical interpretation. Harmonic confined model two-electron atoms with arbitrary interaction u(r 12) are also briefly referred to in the present context.
|Titolo:||Equation of motion of the correlated first-order density matrix for the ground-state of the Hookean atom with two electrons|
|Autori interni:||ANGILELLA, Giuseppe Gioacchino Neil|
|Data di pubblicazione:||2012|
|Rivista:||JOURNAL OF MATHEMATICAL CHEMISTRY|
|Appare nelle tipologie:||1.1 Articolo in rivista|