Zero-eigenvalue eigenfunctions for differences of elliptic relativistic Calogero-Moser hamiltonians

DOI10.1007/s11232-006-0003-yzbMath1177.81063OpenAlexW2105079479MaRDI QIDQ1048020

Simon N. M. Ruijsenaars

Publication date: 9 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-006-0003-y

zbMATH Keywords

elliptic gamma functionjoint eigenfunctionselliptic functional equationsrelativistic Calogero-Moser systems

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)

Related Items (8)

Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type. I: The eigenfunction identities ⋮ Hilbert-Schmidt operators vs. Integrable systems of elliptic Calogero-Moser type. II: The \(A _{N - 1}\) case: First steps ⋮ Higher order deformed elliptic Ruijsenaars operators ⋮ Source identities and kernel functions for deformed (quantum) Ruijsenaars models ⋮ Hypergeometric identities related to Ruijsenaars systems ⋮ Non-stationary Ruijsenaars functions for \(\kappa = t^{-1/N}\) and intertwining operators of Ding-Iohara-Miki algebra ⋮ On R-matrix identities related to elliptic anisotropic spin Ruijsenaars-Macdonald operators ⋮ Kernel functions and Bäcklund transformations for relativistic Calogero-Moser and Toda systems

Cites Work

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• Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type. I: The eigenfunction identities
• Hilbert-Schmidt operators vs. Integrable systems of elliptic Calogero-Moser type. II: The \(A _{N - 1}\) case: First steps
• A new class of integrable systems and its relation to solitons
• Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
• Multiple elliptic hypergeometric series. An approach from the Cauchy determinant
• Euler transformation formula for multiple basic hypergeometric series of type \(A\) and some applications
• Affine Hecke algebras and raising operators for Macdonald polynomials
• On a functional equation of Ruijsenaars
• First order analytic difference equations and integrable quantum systems
• Anyons and the elliptic Calogero-Sutherland model

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