In earlier work a linear differential equation satified by the Schwartz ground-state electron density rho(R) for (non-relativistic) He-like atomic ions with large atomic number Z has been derived. Here, we utilize the asymptotic expansion at large r given by Amovilli and March for the neutral He atom. We thereby show that a linear differential equation of the same general shape as that satisfied by the Schwartz rho(r) again emerges for the neutral He atom itself, in the asymptotic limit of large r. We argue that essential input into the final differential equation for the He ground-state electron density will be the ionization potential plus the atomic polarizability.

Asymptotic form at large r of a third-order linear homogeneous differential equation for the ground-state electron density of the He atom

AMOVILLI, CLAUDIO
2008

Abstract

In earlier work a linear differential equation satified by the Schwartz ground-state electron density rho(R) for (non-relativistic) He-like atomic ions with large atomic number Z has been derived. Here, we utilize the asymptotic expansion at large r given by Amovilli and March for the neutral He atom. We thereby show that a linear differential equation of the same general shape as that satisfied by the Schwartz rho(r) again emerges for the neutral He atom itself, in the asymptotic limit of large r. We argue that essential input into the final differential equation for the He ground-state electron density will be the ionization potential plus the atomic polarizability.
MARCH NORMAN, H; Nagy, Agnes; Amovilli, Claudio
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/118774
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