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This article is cited in 1 scientific paper (total in 1 paper)
The classical hyperbolic Askey–Wilson dynamics without bound states
S. Ruijsenaars University of Leeds
Abstract:
We construct an explicit action–angle map for the classical hyperbolic
Askey–Wilson dynamics (also known as the relativistic $BC_1$
Calogero–Moser system), restricting the four coupling constants such
that no bound states occur. Its features are exact classical analogues of
features previously obtained for the quantum eigenfunction transformation.
Our construction involves neither scattering theory nor a Lax matrix;
instead, it is based on a certain self-duality identity.
Keywords:
hyperbolic Askey–Wilson dynamics, classical relativistic $BC_1$ Calogero–Moser system, action–angle map, self-duality identity.
Citation:
S. Ruijsenaars, “The classical hyperbolic Askey–Wilson dynamics without bound states”, TMF, 154:3 (2008), 492–509; Theoret. and Math. Phys., 154:3 (2008), 418–432
Linking options:
https://www.mathnet.ru/eng/tmf6183https://doi.org/10.4213/tmf6183 https://www.mathnet.ru/eng/tmf/v154/i3/p492
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