On an Explicit Set of Complete Eigenfunctions for the Calogero-Sutherland Model

An operator method is provided to generate an explicit set of complete eigenfunctions for the Calogero-Sutherland model, obtained earlier by Vacek, Okiji and Kawakami, through a special ansatz. We find the connection of the above basis set with the general eigenfunctions of this model and explicitly show that these states describe {\it only} the center of mass motion.