Multivariable hypergeometric solutions for three charged particles

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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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Autores principales: Gasaneo, G., Colavecchia, F.D., Garibotti, C.R., Miraglia, J.E., Macri, P.
Formato: JOUR
Materias:
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
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09534075_v30_n9_pL265_Gasaneo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_09534075_v30_n9_pL265_Gasaneo
record_format dspace
spelling todo:paper_09534075_v30_n9_pL265_Gasaneo2023-10-03T15:50:55Z Multivariable hypergeometric solutions for three charged particles Gasaneo, G. Colavecchia, F.D. Garibotti, C.R. Miraglia, J.E. Macri, P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Gasaneo, G.
Colavecchia, F.D.
Garibotti, C.R.
Miraglia, J.E.
Macri, P.
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.
format JOUR
author Gasaneo, G.
Colavecchia, F.D.
Garibotti, C.R.
Miraglia, J.E.
Macri, P.
author_facet Gasaneo, G.
Colavecchia, F.D.
Garibotti, C.R.
Miraglia, J.E.
Macri, P.
author_sort Gasaneo, G.
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
url http://hdl.handle.net/20.500.12110/paper_09534075_v30_n9_pL265_Gasaneo
work_keys_str_mv AT gasaneog multivariablehypergeometricsolutionsforthreechargedparticles
AT colavecchiafd multivariablehypergeometricsolutionsforthreechargedparticles
AT garibotticr multivariablehypergeometricsolutionsforthreechargedparticles
AT miragliaje multivariablehypergeometricsolutionsforthreechargedparticles
AT macrip multivariablehypergeometricsolutionsforthreechargedparticles
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