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Phan Thành Nam

Binding energy of weakly interacting Bose gases

Abstract: In 1947, Bogoliubov suggested an approximation method to predict the excitation spectrum of a weakly interacting Bose gas. We will argue that Bogoliubov approximation can be used also to calculate the binding energy, namely the energy needed to add or remove one particle from the system. Our calculation can be made rigorous for the homogeneous gas with mean-field interaction. However, the general case is left open.