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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todo:paper_10502947_v55_n5_p3518_Macri2023-10-03T15:59:03Z Approximate analytical solution for two electrons in the continuum Macri, P.A. Miraglia, J.E. Garibotti, C.R. Colavecchia, F.D. Gasaneo, G. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v55_n5_p3518_Macri |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Macri, P.A. Miraglia, J.E. Garibotti, C.R. Colavecchia, F.D. Gasaneo, G. |
| spellingShingle |
Macri, P.A. Miraglia, J.E. Garibotti, C.R. Colavecchia, F.D. Gasaneo, G. Approximate analytical solution for two electrons in the continuum |
| author_facet |
Macri, P.A. Miraglia, J.E. Garibotti, C.R. Colavecchia, F.D. Gasaneo, G. |
| author_sort |
Macri, P.A. |
| title |
Approximate analytical solution for two electrons in the continuum |
| title_short |
Approximate analytical solution for two electrons in the continuum |
| title_full |
Approximate analytical solution for two electrons in the continuum |
| title_fullStr |
Approximate analytical solution for two electrons in the continuum |
| title_full_unstemmed |
Approximate analytical solution for two electrons in the continuum |
| title_sort |
approximate analytical solution for two electrons in the continuum |
| url |
http://hdl.handle.net/20.500.12110/paper_10502947_v55_n5_p3518_Macri |
| work_keys_str_mv |
AT macripa approximateanalyticalsolutionfortwoelectronsinthecontinuum AT miragliaje approximateanalyticalsolutionfortwoelectronsinthecontinuum AT garibotticr approximateanalyticalsolutionfortwoelectronsinthecontinuum AT colavecchiafd approximateanalyticalsolutionfortwoelectronsinthecontinuum AT gasaneog approximateanalyticalsolutionfortwoelectronsinthecontinuum |
| _version_ |
1807323186953453568 |