1. The Bogoliubov c-Number Approximation for Random Boson Systems
- Author
-
Zagrebnov, Valentin, Zagrebnov, Valentin, Institut de Mathématiques de Marseille (I2M), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)
- Subjects
Condensed Matter::Quantum Gases ,Generalized Bose-Einstein Condensation ,Bogoliubov ,[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] ,Condensed Matter::Other ,[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph] ,82B10, 82B23, 81V70 ,Bogoliubov Quasi-Averages ,Random Potentials ,Berezin-Lieb Inequality ,c-number Approximation - Abstract
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.
- Published
- 2014