Bogolyubov approximation for diagonal model of an interacting Bose gas

Details Bogolyubov approximation for diagonal model of an interacting Bose gas Bogolyubov approximation for diagonal model of an interacting Bose gas

2007-01-11

arxiv.org/abs/cond-mat/0701236v1

Physics Letters A, vol.360,issue 3,2007,p.419-422

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.physleta.2006.07.021

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 $\lambda (0)\leq 0$ is the lowest energy value, the system undergoes Bose--Einstein condensation.

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