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St. Petersburg Mathematical Journal

Published by the American Mathematical Society, the St. Petersburg Mathematical Journal (SPMJ) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.54.

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Examples of Hamiltonian structures in the theory of integrable models, and their quantization
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by L. D. Faddeev
Translated by: M. A. Semenov-Tyan-Shanskiĭ PDF
St. Petersburg Math. J. 25 (2014), 295-302 Request permission


A brief survey of certain important examples mentioned in the title and certain quantization methods.
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Additional Information
  • L. D. Faddeev
  • Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia
  • Email:
  • Received by editor(s): January 20, 2013
  • Published electronically: March 12, 2014
  • Additional Notes: Partially supported by RFBR (grants nos. 11-01-00570 and 11-01-12037) and by the RAS program “Mathematical problems of nonlinear dynamics”

  • Dedicated: To the memory of Vladimir Buslaev
  • © Copyright 2014 American Mathematical Society
  • Journal: St. Petersburg Math. J. 25 (2014), 295-302
  • MSC (2010): Primary 81S05, 81S10, 81S20; Secondary 37K10
  • DOI:
  • MathSciNet review: 3114855