Approximate analytical solution for two electrons in the continuum

In this work we construct a correlated double continuum wave function for the three-body Schrödinger equation valid for large interparticle distances. Genuine three-body effects are considered by taking into account a nondiagonal part of the Hamiltonian written in generalized parabolic coordinates....

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Autores principales: Macri, P.A., Miraglia, J.E., Garibotti, C.R., Colavecchia, F.D., Gasaneo, G.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10502947_v55_n5_p3518_Macri
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Sumario:In this work we construct a correlated double continuum wave function for the three-body Schrödinger equation valid for large interparticle distances. Genuine three-body effects are considered by taking into account a nondiagonal part of the Hamiltonian written in generalized parabolic coordinates. A solution is found in terms of the confluent hypergeometric function of two variables [Formula Presented], with similar structure to the first-order Faddeev approximation. The use of such a solution seems to introduce appropriately the interelectronic repulsion. © 1997 The American Physical Society.