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cond-mat.stat-mech2001

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…

cond-mat.stat-mech2001

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,…

cond-mat.stat-mech1999

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…

cond-mat.stat-mech1999

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…

cond-mat.stat-mech1998

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…

cond-mat.stat-mech1997

On the Momentum Distribution and Condensate Fraction in the Bose Liquid

A. Yu. Cherny, A. A. Shanenko

The model recently proposed by A.A. Shanenko [Phys. Lett. A 227 (1997) 367] is used to derive linear integro-differential equations whose solutions provide reasonable estimates for…