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Physics Letters A

Quantum interpretation of thermodynamic behaviour of the Bogoliubov weakly imperfect Bose gas

J.-B. Bru, Valentin Anatol'evich Zagrebnov

Published Oct 1, 1998• 16 citations
Publisher
DOI
10.1016/s0375-9601(98)00530-1

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Exact solution of the Bogoliubov Hamiltonian for weakly imperfect Bose gas

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We show that the pressure of the Bogoliubov weakly imperfect Bose gas (WIBG) can be calculated exactly in the thermodynamic limit. We point out the sufficient and necessary conditions for it not to equate with the pressure of the ideal Bose gas (IBG). We prove that they differ only in that part of the phase diagram where the WIBG has a Bose condensate. We show that in contast to the conventional Bose condensate (e.g. in the IBG) the condensate in the WIBG is due to an effective attraction between bosons in the zero-mode.

Journal of Physics A Mathematical and General•Nov 27, 1998•26 citations
We show that the pressure of the Bogoliubov weakly imperfect Bose gas (WIBG) can be calculated exactly in the thermodynamic limit. We point out the sufficient and necessary conditions for it not to equate with the pressure of the ideal Bose gas (IBG). We prove that they differ only in that part of the phase diagram where the WIBG has a Bose condensate. We show that in contast to the conventional Bose condensate (e.g. in the IBG) the condensate in the WIBG is due to an effective attraction between bosons in the zero-mode.