On the Relaxation Process of Homogeneous Condensate of Weakly Interacting Bose Systems

In this· short note, irreversible processes of the order ·parameter and the occupation number of the homogeneous condensate of degenerate Bose gas are investigated above r. up to second order of the pair interaction, by projecting the Liouville equation .for the density matrix written in terms of coherent representation on to the zero momentum state. Equilibrium fluctuations and stability of the condensate have already been investigated by Glassgold et alY in terms of fluctuation operators for the zero momentum state. We start with the Liouville equation derived in Ref. 2) (Eq. (2·12) of Ref. 2));