Wavefunctions of helium-like systems in limiting regions

E. G. Drukarev*, M. Ya Amusia, E. Z. Liverts, R. Krivec, V. B. Mandelzweig

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We find an approximate analytic form for the solution ψ(r 1, r 2, r 12) of the Schrödinger equation for a system of two electrons bound to a nucleus in the spatial regions r 1 = r 2 = 0 and r 12 = 0, which are of great importance for a number of physical processes. The forms are based on the well-known behavior of ψ(r 1, r 2, r 12) near the singular triple coalescence point. The approximate functions are compared to the locally exact ones obtained earlier by the correlation function hyperspherical harmonic (CFHH) method for the helium atom, light helium-like ions, and the negative ion of hydrogen H-. The functions are shown to determine a natural basis for the expansion of CFHH functions in the considered spatial region. We demonstrate how these approximate functions simplify calculations of high-energy ionization processes.

Original languageEnglish
Pages (from-to)690-696
Number of pages7
JournalJournal of Experimental and Theoretical Physics
Volume103
Issue number5
DOIs
StatePublished - Nov 2006

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