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Volume 4, Issue 4
Solving a Three-Body Continuum Coulomb Problem with Quasi-Sturmian Functions

S. A. Zaytsev & G. Gasaneo

DOI: 10.4208/jams.121312.012013a

J. At. Mol. Sci., 4 (2013), pp. 302-320.

Published online: 2013-04

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  • 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.

  • Keywords

three-body coulomb system, parabolic coordinates, driven equation, quasi-Sturmians, convergence.

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COPYRIGHT: © Global Science Press

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@Article{JAMS-4-302, author = {S. A. Zaytsev and G. Gasaneo}, title = {Solving a Three-Body Continuum Coulomb Problem with Quasi-Sturmian Functions}, journal = {Journal of Atomic and Molecular Sciences}, year = {2013}, volume = {4}, number = {4}, pages = {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.

}, issn = {2079-7346}, doi = {https://doi.org/10.4208/jams.121312.012013a}, url = {http://global-sci.org/intro/article_detail/jams/8262.html} }
TY - JOUR T1 - Solving a Three-Body Continuum Coulomb Problem with Quasi-Sturmian Functions AU - S. A. Zaytsev & G. Gasaneo 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 -

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.

S. A. Zaytsev and G. Gasaneo. (2013). Solving a Three-Body Continuum Coulomb Problem with Quasi-Sturmian Functions. Journal of Atomic and Molecular Sciences. 4 (4). 302-320. doi:10.4208/jams.121312.012013a
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