The classical hyperbolic Askey-Wilson dynamics without bound states

DOI10.1007/s11232-008-0036-5zbMath1169.70009OpenAlexW1971235399MaRDI QIDQ949208

Simon N. M. Ruijsenaars

Publication date: 21 October 2008

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

Full work available at URL: https://doi.org/10.1007/s11232-008-0036-5

zbMATH Keywords

\(A_{1}\) root systemaction-angle mapclassical relativistic \(BC _{1}\) Calogero-Moser systemhyperbolic Askey-Wilson dynamicsself-duality identity

Mathematics Subject Classification ID

Related Items (1)

Self-duality and scattering map for the hyperbolic van Diejen systems with two coupling parameters (with an Appendix by S. Ruijsenaars)

Cites Work

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• A new class of integrable systems and its relation to solitons
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• Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
• Calogero-Moser Lax pairs with spectral parameter for general Lie algebras
• A relativistic hypergeometric function
• Lax representation with spectral parameter on a torus for integrable particle systems
• A generalized hypergeometric function satisfying four analytic difference equations of Askey-Wilson type
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• $lquot$Leonard pairs$rquot$ in classical mechanics
• Duality in integrable systems and gauge theories
• Newton-equivalent Hamiltonians for the harmonic oscillator

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