Exchange interactions, Yang-Baxter relations and transparent particles

Alexios P. Polychronakos

doi:10.1016/j.nuclphysb.2020.115243

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arXiv · 2006.14624

Exchange interactions, Yang-Baxter relations and transparent particles

Alexios P. Polychronakos

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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.

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Alexios P. Polychronakos. 2020-06-25. Exchange interactions, Yang-Baxter relations and transparent particles. https://doi.org/10.1016/j.nuclphysb.2020.115243

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