Kernel functions and Baecklund transformations for relativistic Calogero-Moser and Toda systems
Journal Article
·
· Journal of Mathematical Physics
- School of Mathematics, Loughborough University, Loughborough LE11 3TU (United Kingdom)
- School of Mathematics, University of Leeds, Leeds LS2 9JT (United Kingdom)
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 Baecklund 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.
- OSTI ID:
- 22094012
- Journal Information:
- Journal of Mathematical Physics, Vol. 53, Issue 12; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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