Analytic Evaluation of Four-Particle Integrals with Complex Parameters

Details Analytic Evaluation of Four-Particle Integrals with Complex Parameters Analytic Evaluation of Four-Particle Integrals with Complex Parameters

2002-03-04

arxiv.org/abs/cond-mat/0203072v1

Physical Review A 65, 062501 (2002)

Physics

Condensed Matter

13 pages, 4 figures

Scientific paper

10.1103/PhysRevA.65.062501

The method for analytic evaluation of four-particle integrals, proposed by Fromm and Hill, is generalized to include complex exponential parameters. An original procedure of numerical branch tracking for multiple valued functions is developed. It allows high precision variational solution of the Coulomb four-body problem in a basis of exponential-trigonometric functions of interparticle separations. Numerical results demonstrate high efficiency and versatility of the new method.

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