Integrable Stochastic Ladder Models
Condensed Matter
2010-12-01 v1 High Energy Physics - Theory
Quantum Physics
Abstract
A general way to construct ladder models with certain Lie algebraic or quantum Lie algebraic symmetries is presented. These symmetric models give rise to series of integrable systems. It is shown that corresponding to these SU(2) symmetric integrable ladder models there are exactly solvable stationary discrete-time (resp. continuous-time) Markov processes with transition matrices (resp. intensity matrices) having spectra which coincide with the ones of the corresponding integrable models.
Cite
@article{arxiv.cond-mat/0109327,
title = {Integrable Stochastic Ladder Models},
author = {Sergio Albeverio and Shao-Ming Fei},
journal= {arXiv preprint arXiv:cond-mat/0109327},
year = {2010}
}
Comments
Latex, 11 pages