Abstract
By means of the optimumM-term Hylleraastype wavefunctions with 1≦M≦6 we study various interelectronic properties of the Helium-like atoms with nuclear chargeZ=1, 2, 3, 5 and 10. Leth(u) denote the spherically averaged electron-pair density of a finite many-electron system. Firstly we found that the intracule functionh(u)/uα of the above-mentioned atoms is (i) monotonically decreasing from the origin for α≥α1 and (ii) convex for α≥α2, where α1 and α2 are positive constants which depend onZ andM. Then we show that the electron-electron cusp condition, i.e. thath′(0)=h(0), may be extended in the sense that the inequalityh(u)−h′(u)≧0 is valid for anyu≥0. Thirdly, it is shown that the inequalities involving three interelectronic moments 〈u n 〉 recently found by the authors are, at times, of great quality. Finally the goodness of some bounds to the characteristics of the maximum ofh(u) and to the total interelectronic repulsion energy is discussed in detail.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Zeitschrift f�r Physik D Atoms, Molecules and Clusters
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
