Exact solutions by integrals of the non-stationary elliptic Calogero–Sutherland equation

DOI10.1093/integr/xyaa001zbMath1445.37043arXiv1908.00529OpenAlexW3105937338MaRDI QIDQ5113041

Farrokh Atai, Edwin Langmann

Publication date: 10 June 2020

Published in: Journal of Integrable Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.00529

zbMATH Keywords

Jack polynomialskernel functionselliptic integrable systemsquantum Calogero-Moser-Sutherland systemselliptic Knizhnik-Zamolodchikov-Bernard equationintegral representations of special function

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Other functions coming from differential, difference and integral equations (33E30) Special quantum systems, such as solvable systems (81Q80) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38)

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Non-stationary Ruijsenaars functions for \(\kappa = t^{-1/N}\) and intertwining operators of Ding-Iohara-Miki algebra ⋮ Basic properties of non-stationary Ruijsenaars functions ⋮ Eigenfunctions of the van Diejen model generated by gauge and integral transformations

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