Multivariable hypergeometric solutions for three charged particles
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 wavef...
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1997
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v30_n9_pL265_Gasaneo http://hdl.handle.net/20.500.12110/paper_09534075_v30_n9_pL265_Gasaneo |
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paper:paper_09534075_v30_n9_pL265_Gasaneo2023-06-08T15:55:10Z Multivariable hypergeometric solutions for three charged particles 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 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. 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v30_n9_pL265_Gasaneo http://hdl.handle.net/20.500.12110/paper_09534075_v30_n9_pL265_Gasaneo |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
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 |
| spellingShingle |
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 Multivariable hypergeometric solutions for three charged particles |
| topic_facet |
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 |
| description |
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. |
| title |
Multivariable hypergeometric solutions for three charged particles |
| title_short |
Multivariable hypergeometric solutions for three charged particles |
| title_full |
Multivariable hypergeometric solutions for three charged particles |
| title_fullStr |
Multivariable hypergeometric solutions for three charged particles |
| title_full_unstemmed |
Multivariable hypergeometric solutions for three charged particles |
| title_sort |
multivariable hypergeometric solutions for three charged particles |
| publishDate |
1997 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v30_n9_pL265_Gasaneo http://hdl.handle.net/20.500.12110/paper_09534075_v30_n9_pL265_Gasaneo |
| _version_ |
1768543237885132800 |