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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 129, Number 2, Pages 327–332
DOI: https://doi.org/10.4213/tmf539 (Mi tmf539) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Self-Dual Hamiltonians as Deformations of Free Systems

A. D. Mironovab

a P. N. Lebedev Physical Institute, Russian Academy of Sciences
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
Full-text PDF (168 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf539
Abstract: We formulate the problem of finding self-dual Hamiltonians (associated with integrable systems) as deformations of free systems given on various symplectic manifolds and discuss several known explicit examples including the recently found double elliptic Hamiltonians. We consider self-duality as the basic principle, while duality in integrable systems (of the Toda/Calogero/Ruijsenaars type) comes as a secondary notion (degenerations of self-dual systems).
English version:
Theoretical and Mathematical Physics, 2001, Volume 129, Issue 2, Pages 1581–1585
DOI: https://doi.org/10.1023/A:1012843409301
Bibliographic databases:
Language: Russian
Citation: A. D. Mironov, “Self-Dual Hamiltonians as Deformations of Free Systems”, TMF, 129:2 (2001), 327–332; Theoret. and Math. Phys., 129:2 (2001), 1581–1585
Citation in format AMSBIB
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\paper Self-Dual Hamiltonians as Deformations of Free Systems
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\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 129
\issue 2
\pages 1581--1585
\crossref{https://doi.org/10.1023/A:1012843409301}
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  • https://doi.org/10.4213/tmf539
  • https://www.mathnet.ru/eng/tmf/v129/i2/p327
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:43
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