Title 



Towards a differential equation for the nonrelativistic groundstate electron density of the Helike sequence of atomic ions
 
Author 



 
Abstract 



The early study of Schwartz [Ann. Phys. (N.Y.) 6, 156 (1959)] led to an explicit expression for the groundstate electron density rho(r) of Helike atomic ions with nuclear charge Ze in the limit of large Z. Much later, Gal, March, and Nagy [Chem. Phys. Lett. 305, 429 (1999)] derived a thirdorder linear homogeneous differential equation satisfied by the Schwartz limiting density. Our aim here has been to solve a still correlated model more closely related to the He atom itself. Motivated by semiclassical studies (as by Handke [Phys. Rev. A 50, R3561 (1994)]), we have solved a fully quantal model in which the Coulomb repulsion energy e(2)/r(12) of the two electrons at separation r(12) is expanded in a onecenter form about the atomic nucleus and only the swave term is retained. From the resulting analytical groundstate density, a differential equation has been derived, which is contrasted with that satisfied by the largeZ limiting form of Schwartz. Suggestions are finally made as to the way the density of the He atomic ion series may be characterized, the ionization potential I(Z) being proposed as crucial input data.   
Language 



English
 
Source (journal) 



Physical review : A : atomic, molecular and optical physics.  Lancaster, Pa, 1990  2015  
Publication 



Lancaster, Pa : 2005
 
ISSN 



10941622 [online]
10502947 [print]
 
Volume/pages 



71:4(2005), p. 042501,1042501,5
 
Article Reference 



042501
 
ISI 



000228752700058
 
Medium 



Eonly publicatie
 
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