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Kernel functions Backlund transformations for relativistic Calogero-Moser Toda systems
journal contribution
posted on 2013-02-28, 16:20 authored by Martin Hallnas, Simon RuijsenaarsWe 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 PhysicsVersion
- AM (Accepted Manuscript)
Publication date
2012Notes
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/10.1063/1.4764878ISSN
0022-2488Publisher version
Language
- en