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Abstract:

Simple and accurate wavefunctions for the He atom and He-like isoelectronic ions are presented. These functions - the product of hydrogenic one-electron solutions and a fully correlated part - satisfy all the coalescence cusp conditions at the Coulomb singularities. Functions with different numbers of parameters and different degrees of accuracy are discussed. Simple analytic expressions for the wavefunction and the energy, valid for a wide range of nuclear charges, are presented. The wavefunctions are tested, in the case of helium, through the calculations of various cross sections which probe different regions of the configuration space, mostly those close to the two-particle coalescence points. © 2007 IOP Publishing Ltd.

Registro:

Documento: Artículo
Título:Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions
Autor:Rodriguez, K.V.; Gasaneo, G.; Mitnik, D.M.
Filiación:Departamento de Física, Universidad Nacional, Consejo Nacional de Investigaciones Cientificas y Tecnicas, 8000 Bahia Blanca, Buenos Aires, Argentina
Instituto de Astronomía y Física del Espacio, Departamento de Física, Universidad de Buenos Aires, C C 67, Suc. 28, (C1428EGA) Buenos Aires, Argentina
Palabras clave:Atomic physics; Coalescence; Helium; Ions; Coulomb singularities; Degrees of accuracy; Nuclear charges; Wave functions
Año:2007
Volumen:40
Número:19
Página de inicio:3923
Página de fin:3939
DOI: http://dx.doi.org/10.1088/0953-4075/40/19/011
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_v40_n19_p3923_Rodriguez

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Citas:

---------- APA ----------
Rodriguez, K.V., Gasaneo, G. & Mitnik, D.M. (2007) . Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions. Journal of Physics B: Atomic, Molecular and Optical Physics, 40(19), 3923-3939.
http://dx.doi.org/10.1088/0953-4075/40/19/011
---------- CHICAGO ----------
Rodriguez, K.V., Gasaneo, G., Mitnik, D.M. "Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions" . Journal of Physics B: Atomic, Molecular and Optical Physics 40, no. 19 (2007) : 3923-3939.
http://dx.doi.org/10.1088/0953-4075/40/19/011
---------- MLA ----------
Rodriguez, K.V., Gasaneo, G., Mitnik, D.M. "Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions" . Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 40, no. 19, 2007, pp. 3923-3939.
http://dx.doi.org/10.1088/0953-4075/40/19/011
---------- VANCOUVER ----------
Rodriguez, K.V., Gasaneo, G., Mitnik, D.M. Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions. J Phys B At Mol Opt Phys. 2007;40(19):3923-3939.
http://dx.doi.org/10.1088/0953-4075/40/19/011