A Recursive Construction of Joint Eigenfunctions for the Hyperbolic Nonrelativistic Calogero-Moser Hamiltonians

DOI10.1093/imrn/rnu267zbMath1328.35242arXiv1305.4759OpenAlexW2962956558WikidataQ114092285 ScholiaQ114092285MaRDI QIDQ3451034

Martin A. Hallnäs, Simon N. M. Ruijsenaars

Publication date: 10 November 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4759

zbMATH Keywords

multidimensional integralsjoint eigenfunctionsCalogero-Moser \(N\)-particle system

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Hypergeometric functions associated with root systems (33C67) PDEs in connection with statistical mechanics (35Q82)

Related Items (6)

Source identities and kernel functions for deformed (quantum) Ruijsenaars models ⋮ On the eigenfunctions of hyperbolic quantum Calogero-Moser-Sutherland systems in a Morse potential ⋮ \((\text{SL}(N), q)\)-opers, the \(q\)-Langlands correspondence, and quantum/classical duality ⋮ Series solutions of the non-stationary Heun equation ⋮ An Introduction to Dunkl Theory and Its Analytic Aspects ⋮ Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions

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