Bogolyubov approximation for diagonal model of an interacting Bose gas

Abstract

We study, using the Bogolyubov approximation, the thermodynamic behaviour of a superstable Bose system whose energy operator in the second-quantized form contains a nonlinear expression in the occupation numbers operators. We prove that for all values of the chemical potential satisfying $\mu >\lambda (0)$, where $\lambda (0)\le 0$ is the lowest energy value, the system undergoes Bose--Einstein condensation.

References in corpus (3)

• Proof of Bose-Einstein Condensation for Interacting Gases with a One-Particle Spectral Gap
• Imperfect Bose Gas with Attractive Boundary Conditions
• The equilibrium states for a model with two kinds of Bose condensation