Collective excitations and the gap in spectrum of the degenerated Bose gas

Details Collective excitations and the gap in spectrum of the degenerated Bose gas Collective excitations and the gap in spectrum of the degenerated Bose gas

2009-10-19

arxiv.org/abs/0910.3455v1

Physics

Condensed Matter

Quantum Gases

7 pages, no figures

Scientific paper

Model of the degenerated weakly non-ideal Bose gas is considered without suggestion on C-number representation of the creation and annihilation operators with zero momentum. The "density-density" correlation function and the one-particle Green function are calculated on basis of the suggestion about C-number representation of the operator of particle density in the Bose condensate. It is shown, that the pole in the "density-density" Green function determines the Bogolyubov's spectrum of the collective excitations, which have the phonon-roton form. At the same time the spectrum of the one-particle excitations possesses a gap, whose value is connected with the density of particles in the Bose condensate.

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