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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 154, Number 3, Pages 492–509
DOI: https://doi.org/10.4213/tmf6183 (Mi tmf6183) 		 
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
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DOI: https://doi.org/10.4213/tmf6183
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.
English version:
Theoretical and Mathematical Physics, 2008, Volume 154, Issue 3, Pages 418–432
DOI: https://doi.org/10.1007/s11232-008-0036-5
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\by S.~Ruijsenaars
\paper The classical hyperbolic Askey--Wilson dynamics without bound states
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\jour Theoret. and Math. Phys.
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  • https://doi.org/10.4213/tmf6183
  • https://www.mathnet.ru/eng/tmf/v154/i3/p492
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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