2013/09/19 by D. Karakhanyan, Karakhanyan, David, Shahane A. Khachatryan +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics
paper · pdf · doi:10.48550/arxiv.1309.4896
openalex publication_date 2013/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 N free particles (plane waves).