Dyson's Brownian Motion and Universal Dynamics of Quantum Systems

Details Dyson's Brownian Motion and Universal Dynamics of Quantum Systems Dyson's Brownian Motion and Universal Dynamics of Quantum Systems

1993-06-10

arxiv.org/abs/cond-mat/9306029v1

Physics

Condensed Matter

10 pages, revtex

Scientific paper

10.1103/PhysRevLett.71.2106

We establish a correspondence between the evolution of the distribution of eigenvalues of a $N\times N$ matrix subject to a random Gaussian perturbing matrix, and a Fokker-Planck equation postulated by Dyson. Within this model, we prove the equivalence conjectured by Altshuler et al between the space-time correlations of the Sutherland-Calogero-Moser system in the thermodynamic limit and a set of two-variable correlations for disordered quantum systems calculated by them. Multiple variable correlation functions are, however, shown to be inequivalent for the two cases.

Affiliated with

Also associated with

No associations

Rating

Dyson's Brownian Motion and Universal Dynamics of Quantum Systems 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 Dyson's Brownian Motion and Universal Dynamics of Quantum Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dyson's Brownian Motion and Universal Dynamics of Quantum Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-372162