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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2007
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v40_n19_p3923_Rodriguez http://hdl.handle.net/20.500.12110/paper_09534075_v40_n19_p3923_Rodriguez |
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paper:paper_09534075_v40_n19_p3923_Rodriguez2023-06-08T15:55:14Z Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions 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. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v40_n19_p3923_Rodriguez 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 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. |
| 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 |
| publishDate |
2007 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v40_n19_p3923_Rodriguez http://hdl.handle.net/20.500.12110/paper_09534075_v40_n19_p3923_Rodriguez |
| _version_ |
1768545839904456704 |