Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions
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...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_09534075_v40_n19_p3923_Rodriguez |
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todo:paper_09534075_v40_n19_p3923_Rodriguez2023-10-03T15:51:00Z Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions Rodriguez, K.V. Gasaneo, G. Mitnik, D.M. Atomic physics Coalescence Helium Ions Coulomb singularities Degrees of accuracy Nuclear charges Wave functions 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09534075_v40_n19_p3923_Rodriguez |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Atomic physics Coalescence Helium Ions Coulomb singularities Degrees of accuracy Nuclear charges Wave functions |
| spellingShingle |
Atomic physics Coalescence Helium Ions Coulomb singularities Degrees of accuracy Nuclear charges Wave functions Rodriguez, K.V. Gasaneo, G. Mitnik, D.M. Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions |
| topic_facet |
Atomic physics Coalescence Helium Ions Coulomb singularities Degrees of accuracy Nuclear charges Wave functions |
| description |
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. |
| format |
JOUR |
| author |
Rodriguez, K.V. Gasaneo, G. Mitnik, D.M. |
| author_facet |
Rodriguez, K.V. Gasaneo, G. Mitnik, D.M. |
| author_sort |
Rodriguez, K.V. |
| title |
Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions |
| title_short |
Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions |
| title_full |
Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions |
| title_fullStr |
Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions |
| title_full_unstemmed |
Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions |
| title_sort |
accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions |
| url |
http://hdl.handle.net/20.500.12110/paper_09534075_v40_n19_p3923_Rodriguez |
| work_keys_str_mv |
AT rodriguezkv accurateandsimplewavefunctionsfortheheliumisoelectronicsequencewithcorrectcuspconditions AT gasaneog accurateandsimplewavefunctionsfortheheliumisoelectronicsequencewithcorrectcuspconditions AT mitnikdm accurateandsimplewavefunctionsfortheheliumisoelectronicsequencewithcorrectcuspconditions |
| _version_ |
1807317422363901952 |