8 papers
The kinetic and interaction energies of a trapped Bose gas: Beyond the mean field
A. Yu. Cherny, A. A. Shanenko
The kinetic and interaction energies of a three-dimensional dilute ground-state Bose gas confined in a trap are calculated beyond a mean-field treatment. They are found to depend o…
Dilute Bose gas in two dimensions: Density expansions and the Gross-Pitaevskii equation
A. Yu. Cherny, A. A. Shanenko
A dilute two-dimensional (2D) Bose gas at zero temperature is studied by the method developed earlier by the authors. Low density expansions are derived for the chemical potential,…
Towards Strong-Coupling Generalization of the Bogoliubov Model
A. Yu. Cherny, A. A. Shanenko
The well-known results concerning a dilute Bose gas with the short-range repulsive interaction should be reconsidered due to a thermodynamic inconsistency of the method being basic…
The Dilute Bose Gas Revised
A. Yu. Cherny, A. A. Shanenko
The well-known results concerning a dilute Bose gas with the short-range repulsive interaction should be reconsidered due to a thermodynamic inconsistency of the method being basic…
Bound pair states beyond the condensate for Fermi systems below T_c: the pseudogap as a necessary condition
A. Yu. Cherny, A. A. Shanenko
As is known, the 1/q^2 theorem of Bogoliubov asserts that the mean density of the fermion pair states with the total momentum q obeys the inequality n_q > C/q^2 (q \to 0) in the ca…
On the 'Strong-Coupling' Generalization of the Bogoliubov Model
A. Yu. Cherny, A. A. Shanenko
A generalized Bogoliubov model of the Bose gas in the ground state is proposed which properly takes into account both the long-range and short-range spatial boson correlations. It…