Coexistence of the "bogolons" and the one-particle spectrum of excitations with a gap in the degenerated Bose gas
arXiv:0912.1698 · doi:10.1016/j.physleta.2010.02.075
Abstract
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").
8 pages, no figures
Cited by in corpus (4)
- Role of single-particle and pair condensates in Bose systems with arbitrary intensity of interaction
- Anomalous Transport in Velocity Space, from Fokker-Planck to General Equation
- Re-examining the quadratic approximation in theory of a weakly interacting Bose gas with condensate: the role of nonlocal interaction potentials
- On the ground state energy of the inhomogeneous Bose gas