n-shell Thomas-Fermi model: Coulomb atom |
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Authors: | G. I. Plindov I. K. Dmitrieva |
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Affiliation: | 1. Nuclear Power Engineering Institute of the BSSR Academy of Sciences, Minsk, USSR 2. Heat and Mass Transfer Institute of the BSSR Academy of Sciences, Minsk, USSR
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Abstract: | A simple expression for the electron density of then-shell of the Coulomb atom with the nuclear charge Zρ n(r)=Z 3 π ?2 n ?3(2Z ?1 r ?1?n ?2)1/2 is found in the semi-classical approximation. It is used for the asymptotic estimation of averages 〈r a 〉 (?2<a<∞). An explicit dependence of the leading oscillatory contribution to 〈r a 〉 due to angular moments on the electron number is also obtained. |
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