Exchange interactions, Yang-Baxter relations and transparent particles
High Energy Physics - Theory
2022-02-10 v1 Strongly Correlated Electrons
Mathematical Physics
math.MP
Abstract
We introduce a class of particle models in one dimension involving exchange interactions that have scattering properties satisfying the Yang-Baxter consistency condition. A subclass of these models exhibits reflectionless scattering, in which particles are "transparent" to each other, generalizing a property hitherto only known for the exchange Calogero model. The thermodynamics of these systems can be derived using the asymptotic Bethe-ansatz method.
Cite
@article{arxiv.2006.14624,
title = {Exchange interactions, Yang-Baxter relations and transparent particles},
author = {Alexios P. Polychronakos},
journal= {arXiv preprint arXiv:2006.14624},
year = {2022}
}
Comments
13 pages, 1 figure