TY - JOUR
T1 - Wavefunctions of helium-like systems in limiting regions
AU - Drukarev, E. G.
AU - Amusia, M. Ya
AU - Liverts, E. Z.
AU - Krivec, R.
AU - Mandelzweig, V. B.
PY - 2006/11
Y1 - 2006/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33845538184&partnerID=8YFLogxK
U2 - 10.1134/S1063776106110033
DO - 10.1134/S1063776106110033
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AN - SCOPUS:33845538184
SN - 1063-7761
VL - 103
SP - 690
EP - 696
JO - Journal of Experimental and Theoretical Physics
JF - Journal of Experimental and Theoretical Physics
IS - 5
ER -