Year: 2013
Journal of Atomic and Molecular Sciences, Vol. 4 (2013), Iss. 4 : pp. 302–320
Abstract
The scattering problem of three particles interacting via Coulomb potentials is studied using generalized parabolic coordinates. The scattering solutions are obtained by solving a driven equation. The ‘perturbation’ operator appearing in the driven term is the non-orthogonal part of the kinetic energy operator. The approximated solution appearing in the driven term is the product of two two-body Coulomb wave functions. As a test for our proposal, a simple two-dimensional model problem has been solved numerically by using so called parabolic quasi-Sturmian basis representation. Convergence of the solution has been obtained as the basis set is enlarged.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jams.121312.012013a
Journal of Atomic and Molecular Sciences, Vol. 4 (2013), Iss. 4 : pp. 302–320
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: three-body coulomb system parabolic coordinates driven equation quasi-Sturmians convergence.