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Title: Kernel functions Backlund transformations for relativistic Calogero-Moser Toda systems
Authors: Hallnas, Martin
Ruijsenaars, Simon
Issue Date: 2012
Publisher: © American Institute of Physics
Citation: HALLNÄS, M. and RUIJSENAARS, S., 2012. Kernel functions Bäcklund transformations for relativistic Calogero-Moser Toda systems. Journal of Mathematical Physics, 53 (12), http://dx.doi.org/10.1063/1.4764878, 64 pp.
Abstract: We obtain kernel functions associated with the quantum relativistic Toda systems, both for the periodic version and for the nonperiodic version with its dual. This involves taking limits of previously known results concerning kernel functions for the elliptic and hyperbolic relativistic Calogero-Moser systems. We show that the special kernel functions at issue admit a limit that yields generating functions of Bäcklund transformations for the classical relativistic Calogero-Moser and Toda systems. We also obtain the nonrelativistic counterparts of our results, which tie in with previous results in the literature.
Description: This article was published in the Journal of Mathematical Physics [© American Institute of Physics] and the definitive version is available at: http://dx.doi.org/10.1063/1.4764878
Version: Accepted for publication
DOI: 10.1063/1.4764878
URI: https://dspace.lboro.ac.uk/2134/11825
Publisher Link: http://dx.doi.org/10.1063/1.4764878
ISSN: 0022-2488
Appears in Collections:Published Articles (Maths)

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