EVALUATION OF SOME INTEGRALS FOR THE ATOMIC 3-ELECTRON PROBLEM USING CONVERGENCE ACCELERATORS

Authors
PORRAS I KING FW
Citation
I. Porras et Fw. King, EVALUATION OF SOME INTEGRALS FOR THE ATOMIC 3-ELECTRON PROBLEM USING CONVERGENCE ACCELERATORS, Physical review. A, 49(3), 1994, pp. 1637-1645
Citations number
30
Categorie Soggetti
Physics
Journal title
Physical review. A → ACNP
ISSN journal
10502947
Volume
49
Issue
3
Year of publication
1994
Pages
1637 - 1645
Database
ISI
SICI code
1050-2947(1994)49:3<1637:EOSIFT>2.0.ZU;2-K
Abstract
An analysis is presented for the evaluation of atomic integrals of the form integral (l)r31(m)r12(n)e(alphar1-betar2-gammar3)dr1dr2dr3. Gene ral formulas are worked out for the two cases (i) l = -2, m greater-th an-or-equal-to 1, n greater-than-or-equal-to 1, and (ii) l = -2, m = - 2. A series solution for both cases is obtained. The Levin u transform ation and the Richardson extrapolation techniques are employed to obta in a reasonable number of digits of precision for the integral with mi nimum CPU requirements.