Abstract:
We present a new wavefunction which describes the ion-atom problem above the ionization threshold. This is an approximate solution of the Schrödinger equation for the three-body Coulomb problem that can be expressed in terms of a confluent hypergeometric function of two variables. The proposed wavefunction includes correlation among the motions of the three particles and verifies the correct Coulombic asymptotic behaviours.
Registro:
Documento: |
Artículo
|
Título: | Multivariable hypergeometric solutions for three charged particles |
Autor: | Gasaneo, G.; Colavecchia, F.D.; Garibotti, C.R.; Miraglia, J.E.; Macri, P. |
Filiación: | Centro Atómico Bariloche, Consejo Nac. de Invest. Cie. y Tec., 8400 San Carlos de Bariloche, Argentina IAFE, Consejo Nac. de Invest. Cie. y Tec., CC 67, 1428 Buenos Aires, Argentina Dept de Fisica, Universidad Nacional del Sur, 8000 Bahia Blanca, Argentina
|
Palabras clave: | Approximation theory; Correlation methods; Functions; Ionization; Asymptotic stability; Atoms; Mathematical models; Nonlinear equations; Partial differential equations; Problem solving; Hypergeometric functions; Ionization threshold; Schrodinger equation; Wavefunctions; Coulomb potentials; Charged particles; Ions |
Año: | 1997
|
Volumen: | 30
|
Número: | 9
|
Página de inicio: | L265
|
Página de fin: | L271
|
Título revista: | Journal of Physics B: Atomic, Molecular and Optical Physics
|
Título revista abreviado: | J Phys B At Mol Opt Phys
|
ISSN: | 09534075
|
CODEN: | JPAPE
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v30_n9_pL265_Gasaneo |
Referencias:
- Alt, E.O., Mukhamedzhanov, A., (1993) Phys. Rev. A, 47, p. 2004
- Appell, P., Kampé De Feriet, J., (1926) Fonctions Hypergéométriques et Hypersphériques; Polynômes D'Hermite, , Paris: Gauthier-Villars
- Bates, D.R., Reid, R.H.C., (1968) Advances in Atomic and Molecular Physics, 4, p. 13. , New York: Academic
- Berakdar, J., (1996) Phys. Rev. A, 53, p. 3214
- Berakdar, J., Briggs, J.S., (1994) Phys. Rev. Lett., 72, p. 3799
- Berakdar, J., Briggs, J.S., Klar, H., (1992) Z. Phys. D, 24, p. 351
- Bethe, H., (1930) Ann. Phys., 5, p. 325
- Brauner, M., Briggs, J.S., Klar, H., (1989) J. Phys. B: At. Mol. Opt. Phys., 22, p. 2265
- Burchnall, J.L., Chaundy, T.W., (1941) Q. J. Math, 12, p. 112
- Crothers, D.S.F., McCann, J.F.J., (1983) J. Phys. B: At. Mol. Phys., 16, p. 3229
- Erdelyi, A., (1939) Proc. R. Soc. Edinburgh, 59, p. 224
- (1940) Proc. R. Soc. Edinburgh, 60, p. 344
- Garibotti, C.R., Miraglia, J.E., (1980) Phys. Rev. A, 21, p. 572
- Klar, H., (1990) Z. Phys. D, 16, p. 231
- Lin, C.D., (1995) Phys. Rep., 257, p. 1
- Macri, P., Miraglia, J.E., Garibotti, C.R., Colavecchia, F.D., Gasaneo, G., (1997) Phys. Rev. A, , to be published
- McDowell, M.R.C., Coleman, J.P., (1970) Introduction to the Theory of Ion-Atom Collisions, , Amsterdam: North-Holland
- Miraglia, J.E., Macek, J., (1991) Phys. Rev. A, 43, p. 5919
- Peterkop, R.K., (1977) Theory of Ionisation of Atoms by Electron Impact, , Boulder, CO: Associated University Press
- Redmond, P.J., unpublished; Rosenberg, L., (1973) Phys. Rev. D, 8, p. 1833
- Rudge, M.R.H., (1968) Rev. Mod. Phys., 40, p. 564
- Rudge, M.R.H., Seaton, M.J., (1965) Proc. R. Soc. A, 283, p. 262
- Stolterfoht, N., Dubois, R., Rivarola, R., (1997) Rev. Mod. Phys., , to be published
Citas:
---------- APA ----------
Gasaneo, G., Colavecchia, F.D., Garibotti, C.R., Miraglia, J.E. & Macri, P.
(1997)
. Multivariable hypergeometric solutions for three charged particles. Journal of Physics B: Atomic, Molecular and Optical Physics, 30(9), L265-L271.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v30_n9_pL265_Gasaneo [ ]
---------- CHICAGO ----------
Gasaneo, G., Colavecchia, F.D., Garibotti, C.R., Miraglia, J.E., Macri, P.
"Multivariable hypergeometric solutions for three charged particles"
. Journal of Physics B: Atomic, Molecular and Optical Physics 30, no. 9
(1997) : L265-L271.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v30_n9_pL265_Gasaneo [ ]
---------- MLA ----------
Gasaneo, G., Colavecchia, F.D., Garibotti, C.R., Miraglia, J.E., Macri, P.
"Multivariable hypergeometric solutions for three charged particles"
. Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 30, no. 9, 1997, pp. L265-L271.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v30_n9_pL265_Gasaneo [ ]
---------- VANCOUVER ----------
Gasaneo, G., Colavecchia, F.D., Garibotti, C.R., Miraglia, J.E., Macri, P. Multivariable hypergeometric solutions for three charged particles. J Phys B At Mol Opt Phys. 1997;30(9):L265-L271.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v30_n9_pL265_Gasaneo [ ]