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arXiv · 1605.02696

On the ground state energy of the inhomogeneous Bose gas

V. B. Bobrov·S. A. Trigger
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Abstract

Within the self-consistent Hartree-Fock approximation, an explicit expression for the ground state energy of inhomogeneous Bose gas is derived as a functional of the inhomogeneous density of the Bose-Einstein condensate. The results obtained are based on existence of the off-diagonal long-range order in the single-particle density matrix for systems with a Bose-Einstein condensate. This makes it possible to avoid the use of anomalous averages. The explicit form of the kinetic energy, which differs from one in the Gross-Pitaevski approach, is found. This form is valid beyond the Hartree-Fock approximation and can be applied for arbitrary strong interparticle interaction.

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V. B. Bobrov, S. A. Trigger. 2016-05-05. On the ground state energy of the inhomogeneous Bose gas. https://doi.org/10.1007/s10909-016-1671-0

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