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

2012-03-06

arxiv.org/abs/1203.1270v1

Physics

Condensed Matter

Statistical Mechanics

18 pages, 0 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's function exactly coincides with the Bogolybov's phonon-roton spectrum of excitations. At the same time, a gap exists in the one-particle excitation spectrum . This gap is related to the density of particles in the "condensate".

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