Artículo
Gasaneo, G.; Colavecchia, F.D.; Garibotti, C.R.; Miraglia, J.E.; Macri, P. "Correlated continuum wave functions for three particles with Coulomb interactions" (1997) Physical Review A - Atomic, Molecular, and Optical Physics. 55(4):2809-2820
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Abstract:
We present an approximate solution of the Schrödinger equation for the three-body Coulomb problem. We write the Hamiltonian in parabolic curvilinear coordinates and study the possible separation of the wave equation as a system of coupled partial differential equations. When two of the particles are heavier than the others, we write an approximate wave equation that incorporates some terms of the Hamiltonian that before had been considered as a perturbation. Its solution can be expressed in terms of a confluent hypergeometric function of two variables. We show that the proposed wave function includes a correlation between the motion of the light particle relative to the heavy particles and verifies the correct asymptotic behavior when all particles are far from each other. Finally, we discuss the possible uses of this function in the calculation of transition matrices and differential cross sections in ionizing collisions. © 1997 The American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Correlated continuum wave functions for three particles with Coulomb interactions |
| Autor: | Gasaneo, G.; Colavecchia, F.D.; Garibotti, C.R.; Miraglia, J.E.; Macri, P. |
| Filiación: | Centro Atómico Bariloche and Consejo Nacional de Investigaciones Científicas y Técnicas, San Carlos de Bariloche, 8400, Argentina Instituto de Astronomía y Física del Espacio, Consejo Nacional de Investigaciones Científicas y Técnicas, Casilla de Correo 67, Argentina |
| Año: | 1997 |
| Volumen: | 55 |
| Número: | 4 |
| Página de inicio: | 2809 |
| Página de fin: | 2820 |
| DOI: | http://dx.doi.org/10.1103/PhysRevA.55.2809 |
| 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_n4_p2809_Gasaneo |
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Citas:
---------- APA ----------
Gasaneo, G., Colavecchia, F.D., Garibotti, C.R., Miraglia, J.E. & Macri, P. (1997) . Correlated continuum wave functions for three particles with Coulomb interactions. Physical Review A - Atomic, Molecular, and Optical Physics, 55(4), 2809-2820.http://dx.doi.org/10.1103/PhysRevA.55.2809
---------- CHICAGO ----------
Gasaneo, G., Colavecchia, F.D., Garibotti, C.R., Miraglia, J.E., Macri, P. "Correlated continuum wave functions for three particles with Coulomb interactions" . Physical Review A - Atomic, Molecular, and Optical Physics 55, no. 4 (1997) : 2809-2820.http://dx.doi.org/10.1103/PhysRevA.55.2809
---------- MLA ----------
Gasaneo, G., Colavecchia, F.D., Garibotti, C.R., Miraglia, J.E., Macri, P. "Correlated continuum wave functions for three particles with Coulomb interactions" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 55, no. 4, 1997, pp. 2809-2820.http://dx.doi.org/10.1103/PhysRevA.55.2809
---------- VANCOUVER ----------
Gasaneo, G., Colavecchia, F.D., Garibotti, C.R., Miraglia, J.E., Macri, P. Correlated continuum wave functions for three particles with Coulomb interactions. Phys Rev A. 1997;55(4):2809-2820.http://dx.doi.org/10.1103/PhysRevA.55.2809
