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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 172, Number 3, Pages 355–374
DOI: https://doi.org/10.4213/tmf6941
(Mi tmf6941)
 

This article is cited in 1 scientific paper (total in 1 paper)

Quantum tops as examples of commuting differential operators

V. E. Adlera, V. G. Marikhina, A. B. Shabatab

a Landau Institute for Theoretical Physics, RAS, Moscow, Russia
b Aliev Karachaevo-Cherkessky State University, Karachaevsk, Russia
Full-text PDF (457 kB) Citations (1)
References:
Abstract: We study the quantum analogues of tops on the Lie algebras $so(4)$ and $e(3)$ represented by differential operators.
Keywords: quantization, integrable top, operator algebra.
Received: 27.09.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 172, Issue 3, Pages 1187–1205
DOI: https://doi.org/10.1007/s11232-012-0107-5
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. E. Adler, V. G. Marikhin, A. B. Shabat, “Quantum tops as examples of commuting differential operators”, TMF, 172:3 (2012), 355–374; Theoret. and Math. Phys., 172:3 (2012), 1187–1205
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf6941
  • https://doi.org/10.4213/tmf6941
  • https://www.mathnet.ru/eng/tmf/v172/i3/p355
  • This publication is cited in the following 1 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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    Abstract page:657
    Full-text PDF :234
    References:80
    First page:40
     
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