Coexistence of the "bogolons" and the one-particle spectrum of excitations with a gap in the degenerated Bose gas

Details Coexistence of the "bogolons" and the one-particle spectrum of excitations with a gap in the degenerated Bose gas Coexistence of the "bogolons" and the one-particle spectrum of excitations with a gap in the degenerated Bose gas

2009-12-09

arxiv.org/abs/0912.1698v1

Physics

Condensed Matter

Quantum Gases

8 pages, no figures

Scientific paper

Properties of the weakly non-ideal Bose gas are 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 of the degenerated Bose gas are calculated on the basis of the self-consistent Hartree-Fock approximation. It is shown that the spectrum of the one-particle excitations possesses a gap whose value is connected with the density of particles in the "condensate". At the same time, the pole in the "density-density" Green function determines the phonon-roton spectrum of excitations which exactly coincides with one discovered by Bogolyubov for the collective excitations (the "bogolons").

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