A Remark concerning the Bogoliubov Theory

Hartland S. Snyder

William H. Bassichis

Zagrebnov

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.

Jean Peretti

Some results are given on the connection existing between the Lee-Huang-Yang theory for the interacting Bose systems, and the Bogoliubov theory.

Petarpa Boonserm, Matt Visser

Hans Albrecht Bethe