FIZIKA A 5 (1996) 1, 11-19

ON THE TRUNCATION SCHEME FOR THE HYPERSPHERICAL HARMONICS EXPANSION BASIS FOR TWO-ELECTRON ATOMS

RAKHI CHATTOPADHYAY and TAPAN KUMAR DAS
Department of Physics, University of Calcutta, 92 A.P.C. Road, Calcutta 700 009, India

Received 12 December 1995

In spite of the fact that the usual hyperspherical harmonics expansion method has a number of advantages, the rate of convergence is quite slow for diffused atomic systems interacting through long-range Coulomb forces. An efficient truncation scheme of the basis, in which only l₁ = 0 partial waves for K > K_M1, are retained is proposed. This results in a marginal increase in computation beyond that for K_M1. Calculation of various quantities indicate that the truncation scheme is particularly useful for diffused atomic systems.

UDC 539.182
PACS 31.20.Di, 31.20.Tz

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