The Bogoliubov c-Number Approximation for Random Boson Systems

Valentin Zagrebnov (1)

1 I2M - Institut de Mathématiques de Marseille

We justify the Bogoliubov c-number approximation for the case of interacting Bose-gas in a homogeneous random media. To this aim we take into account occurrence of generalised extended/fragmented Bose-Einstein condensation in an infinitesimal band of low kinetic-energy modes, to generalise the c-number substitution procedure for this band of low-momenta modes.

Mots clés: Bogoliubov Quasi-Averages; c-number Approximation; Generalized Bose-Einstein Condensation; Random Potentials; Bogoliubov; Berezin-Lieb Inequality

Domaines: Physique mathématique [math-ph]

Valentin Zagrebnov. The Bogoliubov c-Number Approximation for Random Boson Systems. Proceedings of the Kiev Institute of Mathematics, 2014, 11 (1), pp.123-140. ⟨hal-00919531⟩