Abstract: We propose and solve exactly the Schrödinger equation of a bound quantum system consisting in four particles moving on a real line with both translationally invariant four particles interactions of Wolfes type [1] and additional non translationally invariant four-body potentials. We also generalize and solve exactly this problem in any D-dimensional space by providing full eigensolutions and the corresponding energy spectrum. We discuss the domain of the coupling constant where the irregular solutions becomes physically acceptable.
N° Revue: Few-Body Systems, Volume 54, Issue 11, Springer Vienna - Pagination: pp 1945– - Date: 01/11/2013
URL: DOI: 10.1007/s00601-013-0696-z
Mots cles: Schrödinger equation , bound quantum system, four particles, Wolfes four-body problem, Non translationally invariant four-body potentials, D-dimensional space
co_auteurs: M Lassaut