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Matematicheskie Zametki, 2019, Volume 106, Issue 6, paper published in the English version journal (Mi mzm12593)  
This article is cited in 3 scientific papers (total in 3 papers)

Papers published in the English version of the journal

Algebra of Symmetries of Three-Frequency Hyperbolic Resonance

E. M. Novikova

National Research University Higher School of Economics, Moscow, 101000 Russia
Citations (3)
Abstract: The algebra of symmetries of a quantum three-frequency hyperbolic resonance oscillator is studied. It is shown that this algebra is determined by a finite set of generators with polynomial commutation relations. The irreducible representations of this algebra and the corresponding coherent states are constructed.
Keywords: frequency resonance, algebra of symmetries, nonlinear commutation relations, coherent states.
Funding agency Grant number
National Research University Higher School of Economics
This work was implemented in the framework of the Basic Research Program at the National Research University Higher School of Economics (HSE University) in 2019.
Received: 01.10.2019
Revised: 01.10.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 6, Pages 940–956
DOI: https://doi.org/10.1134/S0001434619110300
Bibliographic databases:
Document Type: Article
Language: English
Citation: E. M. Novikova, “Algebra of Symmetries of Three-Frequency Hyperbolic Resonance”, Math. Notes, 106:6 (2019), 940–956
Citation in format AMSBIB
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\by E.~M.~Novikova
\paper Algebra of Symmetries of Three-Frequency Hyperbolic Resonance
\jour Math. Notes
\yr 2019
\vol 106
\issue 6
\pages 940--956
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\crossref{https://doi.org/10.1134/S0001434619110300}
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\elib{https://elibrary.ru/item.asp?id=43233870}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85077021864}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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