Title: GENERALIZED CONDENSATION AND THE BOGOLIUBOV THEORY OF SUPERFLUIDITY
Author(s): V.A.Zagrebnov (Universite de la Mediterranee and Centre de Physique Theorique-CNRS-Luminy-Case 907, 13288 Marseille, Cedex 09, France; E-mail: zagrebnov@cpt.univ-mrs.fr)

In this paper we scrutinize the Bogoliubov theory of superfluidity on the level of the first Bogoliubov ansatz. This ansatz preconizes the Bogoliubov truncated Hamiltonian as a starting point of this theory. Since this ansatz is based on the hypothesis concerning the Bose-Einstein condensation in zero-mode as well as on its stability with respect to interactions, we present some rigorous results, which cast doubt on this hypothesis.

Comments: Figs. 0, Refs. 27, Tabs. 0.