Theory of degenerate Bose gas without anomalous averages

Details Theory of degenerate Bose gas without anomalous averages Theory of degenerate Bose gas without anomalous averages

2009-12-28

arxiv.org/abs/0912.5215v1

Physics

Condensed Matter

Quantum Gases

7 pages, no figures

Scientific paper

Theory of a weakly non-ideal Bose gas in the canonical ensemble is developed without assumption of the C-number representation of the creation and annihilation operators with zero momentum. It is shown that the pole of the "density-density" Green function exactly coincides with the Bogolybov's phonon-roton spectrum of excitations. At the same time in the one-particle excitation spectrum a gap exists. The value of this gap is connected with the density of particles in the "condensate".

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