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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 185, Number 1, Pages 68–76
DOI: https://doi.org/10.4213/tmf8903 (Mi tmf8903) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Orthogonal polynomials and deformed oscillators

V. V. Borzova, E. V. Damaskinskyb

a St. Petersburg State University of Telecommunications, St. Petersburg, Russia
b Military Institute (Technical Engineering), Military Academy for Material and Technical Support, St. Petersburg, Russia
Full-text PDF (451 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf8903
Abstract: In the example of the Fibonacci oscillator, we discuss the construction of oscillator-like systems associated with orthogonal polynomials. We also consider the question of the dimensions of the corresponding Lie algebras.
Keywords: generalized oscillator, orthogonal polynomial, Fibonacci number, algebra of oscillator-like systems.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03148_а
English version:
Theoretical and Mathematical Physics, 2015, Volume 185, Issue 1, Pages 1417–1424
DOI: https://doi.org/10.1007/s11232-015-0350-7
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Borzov, E. V. Damaskinsky, “Orthogonal polynomials and deformed oscillators”, TMF, 185:1 (2015), 68–76; Theoret. and Math. Phys., 185:1 (2015), 1417–1424
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8903
  • https://doi.org/10.4213/tmf8903
  • https://www.mathnet.ru/eng/tmf/v185/i1/p68
    • 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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    References:48
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