Abstract
The integrability of the Calogero model can be expressed as zero curvature condition using Dunkl operators. The corresponding flat connections are non-local gauge transformations, which map the Calogero wave functions to symmetrized wave functions of the set of N free particles, i.e. it relates the corresponding scattering matrices to each other. The integrability of the Calogero model implies that any k-particle scattering is reduced to successive pairwise scatterings. The consistency condition of this requirement is expressed by the analog of the Yang–Baxter relation.
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Karakhanyan, D. Dunkl operator, integrability, and pairwise scattering in rational Calogero model. Phys. Atom. Nuclei 80, 520–528 (2017). https://doi.org/10.1134/S1063778817030103
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DOI: https://doi.org/10.1134/S1063778817030103