Joint Eigenfunctions for the Relativistic Calogero–Moser Hamiltonians of Hyperbolic Type: I. First Steps

DOI10.1093/IMRN/RNT076zbMath1325.81097arXiv1206.3787OpenAlexW2963820566WikidataQ114092288 ScholiaQ114092288MaRDI QIDQ3191870

Martin A. Hallnäs, Simon N. M. Ruijsenaars

Publication date: 25 September 2014

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

Full work available at URL: https://arxiv.org/abs/1206.3787

zbMATH Keywords

relativisticjoint eigenfunctionsrecursion schemeCalogero-Moser Hamiltonians

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) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Difference operators (39A70) Linear difference operators (47B39)

Related Items (4)

Construction of eigenfunctions for the elliptic Ruijsenaars difference operators ⋮ Hypergeometric identities related to Ruijsenaars systems ⋮ On the status of DELL systems ⋮ Super-Macdonald polynomials: orthogonality and Hilbert space interpretation

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