Abstract
A generalized Bogoliubov model of the Bose gas in the ground state is proposed which properly takes into account both the long-range and short-range spatial boson correlations. It concerns equilibrium characteristics and operates with in-medium Schrödinger equations for the pair wave functions of bosons being the eigenfunctions of the second-order reduced density matrix. The approach developed provides reasonable results for a dilute Bose gas with an arbitrarily strong interaction between particles (the “strong-coupling” case) and turns into the canonical Bogoliubov model in the weak-coupling regime.
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