Not to normal order - Notes on the kinetic limit for weakly interacting quantum fluids

Details Not to normal order - Notes on the kinetic limit for weakly interacting quantum fluids Not to normal order - Notes on the kinetic limit for weakly interacting quantum fluids

2008-07-31

arxiv.org/abs/0807.5072v2

J. Stat. Phys. 134 (2009) 1133-1172

Physics

Mathematical Physics

43 pages, corrected typos, updated assumptions in sec. 7

Scientific paper

10.1007/s10955-009-9682-8

The derivation of the Nordheim-Boltzmann transport equation for weakly interacting quantum fluids is a longstanding problem in mathematical physics. Inspired by the method developed to handle classical dilute gases, a conventional approach is the use of the BBGKY hierarchy for the time-dependent reduced density matrices. In contrast, our contribution is motivated by the kinetic theory of the weakly nonlinear Schrodinger equation. The main observation is that the results obtained in the latter context carry over directly to weakly interacting quantum fluids provided one does not insist on normal order in the Duhamel expansion. We discuss the term by term convergence of the expansion and the equilibrium time correlation .

Affiliated with

Also associated with

No associations

Rating

Not to normal order - Notes on the kinetic limit for weakly interacting quantum fluids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Not to normal order - Notes on the kinetic limit for weakly interacting quantum fluids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Not to normal order - Notes on the kinetic limit for weakly interacting quantum fluids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-364032