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 TMF, 1972, Volume 12, Number 1, Pages 64–77 (Mi tmf2968)

Slow collisions in a three-body system with coulomb interaction

A. V. Matveenko, L. I. Ponomarev

Abstract: A general approach is formulated for solving problems of slow collisions in a three-body system with Coulomb interaction. The approach is based on the method of perturbed stationary states, i.e. , the solutions of the three-body Schrödinger equation are expanded in the eigenfunctions of the quantum-mechanical two-center problem. The equations are integrated numerically by the method of phase functions. A fairly large class of problems in atomic and mesoatomic physics can be posed and solved with reasonable accuracy in this approach. Special cases of these problems have been solved in earlier papers of the authors.

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English version:
Theoretical and Mathematical Physics, 1972, 12:1, 662–672

Citation: A. V. Matveenko, L. I. Ponomarev, “Slow collisions in a three-body system with coulomb interaction”, TMF, 12:1 (1972), 64–77; Theoret. and Math. Phys., 12:1 (1972), 662–672

Citation in format AMSBIB
\Bibitem{MatPon72} \by A.~V.~Matveenko, L.~I.~Ponomarev \paper Slow collisions in a three-body system with coulomb interaction \jour TMF \yr 1972 \vol 12 \issue 1 \pages 64--77 \mathnet{http://mi.mathnet.ru/tmf2968} \transl \jour Theoret. and Math. Phys. \yr 1972 \vol 12 \issue 1 \pages 662--672 \crossref{https://doi.org/10.1007/BF01030042}