TY - JOUR
T1 - Solving a Three-Body Continuum Coulomb Problem with Quasi-Sturmian Functions
JO - Journal of Atomic and Molecular Sciences
VL - 4
SP - 302
EP - 320
PY - 2013
DA - 2013/04
SN - 4
DO - http://doi.org/10.4208/jams.121312.012013a
UR - https://global-sci.org/intro/article_detail/jams/8262.html
KW - three-body coulomb system, parabolic coordinates, driven equation, quasi-Sturmians, convergence.
AB - <p style="text-align: justify;">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.</p>