Quantum Separation of Variables and Multi-component Dyson Brownian Motion
Other Condensed Matter
2016-08-31 v2 Mesoscale and Nanoscale Physics
Statistical Mechanics
High Energy Physics - Theory
Mathematical Physics
math.MP
Probability
Chaotic Dynamics
Exactly Solvable and Integrable Systems
Abstract
A new type of Coulomb gas is defined, consisting of arbitrary numbers of point charges of two species executing Brownian motions under the influence of their mutual electrostatic repulsion. Being a generalization of a model of identical particles introduced by Dyson as a dynamical system describing non-equilibrium state of various random matrix ensembles, our system gives an exact mathematical description of the Brownian motion of charges of magnitudes and , such that on the line or circle, where is an inverse temperature of the gas.
Cite
@article{arxiv.cond-mat/0408364,
title = {Quantum Separation of Variables and Multi-component Dyson Brownian Motion},
author = {Igor Loutsenko},
journal= {arXiv preprint arXiv:cond-mat/0408364},
year = {2016}
}
Comments
The paper has been withdrawn by the author