Abstract:
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.
Registro:
Documento: |
Artículo
|
Título: | Approximate analytical solution for two electrons in the continuum |
Autor: | Macri, P.A.; Miraglia, J.E.; Garibotti, C.R.; Colavecchia, F.D.; Gasaneo, G. |
Filiación: | Instituto de Astronomía y Física del Espacio, Consejo Nacional de Investigaciones Científicas y Técnicas, CC 67,Sucursal 28, Buenos Aires, 1428, Argentina Centro Atómico Bariloche, Comisión Nacional de Energía Atómica, San Carlos de Bariloche, Ríο Negro, 8400, Argentina
|
Año: | 1997
|
Volumen: | 55
|
Número: | 5
|
Página de inicio: | 3518
|
Página de fin: | 3525
|
DOI: |
http://dx.doi.org/10.1103/PhysRevA.55.3518 |
Título revista: | Physical Review A - Atomic, Molecular, and Optical Physics
|
Título revista abreviado: | Phys Rev A
|
ISSN: | 10502947
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v55_n5_p3518_Macri |
Referencias:
- Kornberg, M.A., Miraglia, J.E., (1994) Phys. Rev. A, 49, p. 5120
- Rudge, M.R.H., Seaton, M.J., (1965) Proc. R. Soc. London A, 283, p. 262
- Klar, H., (1990) Z. Phys. D, 16, p. 231
- Garibotti, C.R., Miraglia, J.E., (1980) Phys. Rev A, 21, p. 572
- Brauner, M., Briggs, J.S., Klar, H., (1989) J. Phys. B, 22, p. 2265
- Kornberg, M.A., Miraglia, J.E., (1993) Phys. Rev. A, 48, p. 3714
- Alt, E.O., Mukhamedzhanov, A.M., (1993) Phys. Rev. A, 47, p. 2004
- Berakdar, J., (1996) Phys. Rev. A, 53, p. 2314
- Felden, M.M., Felden, M.A., Braun, J.C., (1972) Physica, 61, p. 355
- Felden, M.M., (1975) Phys. Lett. A, 51, p. 226
- M. Kornberg, Ph.D. thesis, University of Buenos Aires, 1996 (unpublished); Kato, T., (1957) Commun. Pure Appl. Math., 10, p. 151
- P. Appell and Kampéde Feriet, Functions Hypergéométriques et Hypersphériques: Polinômes d' Hermite (Gauthier-Villars, Paris, 1926); Macek, J., (1970) Phys. Rev. A, 1, p. 235
- Briggs, J.S., (1980) J. Phys. B, 13, pp. L717
- Faddeev, L.D., (1960) Zh. Éksp. Teor. Fiz., 39, p. 1459
- F. D. Colavecchia; Crothers, D.F.S., (1986) J. Phys. B, 19, p. 463
- Wannier, G.H., (1953) Phys. Rev., 90, p. 817
- Peterkop, R.K., (1962) Opt. Spektrosk., 13, p. 153
- Gradshteyn, I.S., Ryzhik, I.M., (1965) Table of Integrals Series and Products, , Academic Press, New York
Citas:
---------- APA ----------
Macri, P.A., Miraglia, J.E., Garibotti, C.R., Colavecchia, F.D. & Gasaneo, G.
(1997)
. Approximate analytical solution for two electrons in the continuum. Physical Review A - Atomic, Molecular, and Optical Physics, 55(5), 3518-3525.
http://dx.doi.org/10.1103/PhysRevA.55.3518---------- CHICAGO ----------
Macri, P.A., Miraglia, J.E., Garibotti, C.R., Colavecchia, F.D., Gasaneo, G.
"Approximate analytical solution for two electrons in the continuum"
. Physical Review A - Atomic, Molecular, and Optical Physics 55, no. 5
(1997) : 3518-3525.
http://dx.doi.org/10.1103/PhysRevA.55.3518---------- MLA ----------
Macri, P.A., Miraglia, J.E., Garibotti, C.R., Colavecchia, F.D., Gasaneo, G.
"Approximate analytical solution for two electrons in the continuum"
. Physical Review A - Atomic, Molecular, and Optical Physics, vol. 55, no. 5, 1997, pp. 3518-3525.
http://dx.doi.org/10.1103/PhysRevA.55.3518---------- VANCOUVER ----------
Macri, P.A., Miraglia, J.E., Garibotti, C.R., Colavecchia, F.D., Gasaneo, G. Approximate analytical solution for two electrons in the continuum. Phys Rev A. 1997;55(5):3518-3525.
http://dx.doi.org/10.1103/PhysRevA.55.3518