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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 269, Pages 354–364 (Mi znsl1324)  
On the Maupertuis–Jakobi transformation and Toda chains

A. V. Tsiganov

Saint-Petersburg State University
Full-text PDF (184 kB)
Abstract: For the Toda lattice we consider properties of canonical transformations of the extended phase space, which preserve integrability. The separated variables are invariant under change of the time. On the other hand, mapping of the time induces transformations of the action-angles variables and a shift of the generating function of the Bäcklund transformation.
Received: 24.01.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 1, Pages 2085–2091
DOI: https://doi.org/10.1023/A:1022620401099
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. V. Tsiganov, “On the Maupertuis–Jakobi transformation and Toda chains”, Questions of quantum field theory and statistical physics. Part 16, Zap. Nauchn. Sem. POMI, 269, POMI, St. Petersburg, 2000, 354–364; J. Math. Sci. (N. Y.), 115:1 (2003), 2085–2091
Citation in format AMSBIB
\Bibitem{Tsi00}
\by A.~V.~Tsiganov
\paper On the Maupertuis--Jakobi transformation and Toda chains
\inbook Questions of quantum field theory and statistical physics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 269
\pages 354--364
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1324}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1805870}
\zmath{https://zbmath.org/?q=an:1037.70013}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 1
\pages 2085--2091
\crossref{https://doi.org/10.1023/A:1022620401099}
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