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Kernel functions Backlund transformations for relativistic Calogero-Moser Toda systems

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posted on 2013-02-28, 16:20 authored by Martin Hallnas, Simon Ruijsenaars
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.

History

School

  • Science

Department

  • Mathematical Sciences

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.

Publisher

© American Institute of Physics

Version

  • AM (Accepted Manuscript)

Publication date

2012

Notes

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

ISSN

0022-2488

Language

  • en

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