The three-body problem in the path integral formalism
type: Item
instance of: scholarly article
title: The three-body problem in the path integral formalism
zbMATH Open document ID: 1053.81033
author: A. Chouchaoui
published in: Annals of Physics
publication date: 2004-08-19T00:00:00Z
review text: The three-body problem is explored in the framework of Feynman path integral method. Three particles of equal masses subjected to the one-dimensional Calogero potential are considered (as well as some generalizations of this situation). The corresponding propagator is calculated in the phase-space Feynman formalism. The energy spectrum is determined along with the corresponding wave functions. In case if some constraints are introduced, the problem is reduced to a particle constrained to move in a sector of angle \(\alpha\).
Mathematics Subject Classification ID: 81Q30
Mathematics Subject Classification ID: 70F07
zbMATH DE Number: 2092925
zbMATH Keywords: three-body problem
zbMATH Keywords: Feynman path integral
reviewed by: Michael B. Mensky
MaRDI profile type: Publication
full work available at URL: j.aop.2004.03.006
OpenAlex ID: W1997537564
cites work: Q4237479
cites work: Handbook of Feynman path integrals
cites work: Q4275389
DOI: 10.1016/J.AOP.2004.03.006
description: scientific article; zbMATH DE number 2092925