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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 124, Number 2, Pages 310–322
DOI: https://doi.org/10.4213/tmf641 (Mi tmf641) 		 
This article is cited in 4 scientific papers (total in 4 papers)

An integrable system related to the spherical top and the Toda chain

A. V. Tsiganov

St. Petersburg State University, Faculty of Physics
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DOI: https://doi.org/10.4213/tmf641
Abstract: We study the integrable motion over the sphere $S^2$ in the potential $V=(x_1x_2x_3)^{-2/3}$ possessing an additional integral of motion that is cubic in the momenta. We construct the Lax representation without a spectral parameter and consider the relation to the three-particle Toda chain.
Received: 05.11.1999
English version:
Theoretical and Mathematical Physics, 2000, Volume 124, Issue 2, Pages 1121–1131
DOI: https://doi.org/10.1007/BF02551082
Bibliographic databases:
Language: Russian
Citation: A. V. Tsiganov, “An integrable system related to the spherical top and the Toda chain”, TMF, 124:2 (2000), 310–322; Theoret. and Math. Phys., 124:2 (2000), 1121–1131
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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