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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

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

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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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
St. Petersburg Math. J. 25 (2014), 295-302
DOI: https://doi.org/10.1090/S1061-0022-2014-01291-5
Published electronically: March 12, 2014

Abstract:

A brief survey of certain important examples mentioned in the title and certain quantization methods.
References
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Bibliographic Information
  • L. D. Faddeev
  • Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia
  • Email: faddeev@pdmi.ras.ru
  • 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: https://doi.org/10.1090/S1061-0022-2014-01291-5
  • MathSciNet review: 3114855