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The finite size effect causes many interesting behaviors in properties of a weakly interacting Bose gas. These behaviors were considered in one-loop approximation of quantum field theory. In this paper the influence is investigated in improved Hatree-Fock approximation, which gives more accurate results.

INFLUENCE OF THE FINITE SIZE EFFECT ON PROPERTIES OF A WEAKLY INTERACTING BOSE GAS IN IMPROVED HATREE-FOCK APPROXIMATION