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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Detalles Bibliográficos
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
Descripción
Sumario: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.

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