Zero-curvature condition in Calogero model
Mathematical Physics
2013-09-24 v2 math.MP
Abstract
We consider the mutual commutativity of Dunkl operators of the rational Calogero model as zero-curvature condition and calculate the non-local operator, related to these flat connections. This operator has physical meaning of particular scattering matrix of Calogero model and maps the eigenfunctions of Dunkl operator to the wave function of free particles (plane waves).
Cite
@article{arxiv.1309.4896,
title = {Zero-curvature condition in Calogero model},
author = {David Karakhanyan and Shahane Khachatryan},
journal= {arXiv preprint arXiv:1309.4896},
year = {2013}
}
Comments
12 pages