Abstract: We study new solvable few body problems consisting of generalizations of the Calogero and the Calogero–Marchioro–Wolfes three-body problems, by introducing non-translationally invariant three-body potentials. After separating the radial and angular variables by appropriate coordinate transformations, we provide eigensolutions of the Schrödinger equation with the corresponding energy spectrum. We found a domain of the coupling constant for which the irregular solutions are square integrable.
N° Revue: Journal of Physics A: Mathematical and Theoretical, Volume 42, Number 6 - Pagination: 065301 ( - Date: 14/01/2009
URL: http://iopscience.iop.org/1751-8121/42/6/065301
Mots cles: COORDINATES, COUPLING CONSTANTS, ENERGY SPECTRA, INTEGRAL CALCULUS, MATHEMATICAL SOLUTIONS, POTENTIALS, SCHROEDINGER EQUATION, THREE-BODY PROBLEM, TRANSFORMATIONS DIFFERENTIAL EQUATIONS, EQUATIONS, MANY-BODY PROBLEM, MATHEMATICS, PARTIAL DIFFERENTIAL EQUATIONS, SPECTRA, WAVE EQUATIONS
co_auteurs: M Lassaut,et R J Lombard