New methods and results in the three-body Coulomb problem
type: Item
instance of: scholarly article
title: New methods and results in the three-body Coulomb problem
zbMATH Open document ID: 0973.81013
DOI: 10.1016/S0375-9474(01)00827-2
published in: Nuclear Physics. A
publication date: 2001-11-07T00:00:00Z
review text: An approximate symmetry of the three-body Coulomb problem revealed via approximate separability of the hyperspherical adiabatic Hamiltonian in hyperspherical elliptic coordinates is discussed. In the zeroth order this symmetry leads to a completely separable representation of the three-body wave function. Taking into account the non-adiabatic couplings, as well as the non-separable part of the Coulomb potential by mixing a few zeroth-order states, permits one to obtain accurate results for systems with arbitrary masses and charges of particles, and for a wide spectrum below the three-body breakup threshold.
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 1669341
zbMATH Keywords: approximate symmetry
zbMATH Keywords: hyperspherical adiabatic Hamiltonian
zbMATH Keywords: completely separable wave function representation
MaRDI profile type: Publication
full work available at URL: s0375-9474(01)00827-2
OpenAlex ID: W2013053357
author: O. I. Tolstikhin
description: scientific article; zbMATH DE number 1669341