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Zapiski Nauchnykh Seminarov LOMI, 1991, Volume 189, Pages 37–74 (Mi znsl4881)  
This article is cited in 35 scientific papers (total in 36 papers)

Deformed oscillators and their applications

E. V. Damaskinsky, P. P. Kulish
Full-text PDF (1526 kB) Citations (36)
Abstract: Some variants of definitions and properties of deformed oscillators are reviewed. The $q$-analogs of coherent states are studied. Some applications of $q$-oscillators, such as $q$-oscillator representations of quantum algebras and superalgebras, $q$-coherent states of $su_q(2)$ and $su_q(1,1)$ quant algebras and the deformed Jaynes–Cummings model are considered. Generalizations to the case of several degrees of freedom are also given.
English version:
Journal of Soviet Mathematics, 1992, Volume 62, Issue 5, Pages 2963–2986
DOI: https://doi.org/10.1007/BF01097496
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. V. Damaskinsky, P. P. Kulish, “Deformed oscillators and their applications”, Questions of quantum field theory and statistical physics. Part 10, Zap. Nauchn. Sem. LOMI, 189, Nauka, St. Petersburg, 1991, 37–74; J. Soviet Math., 62:5 (1992), 2963–2986
Citation in format AMSBIB
\Bibitem{DamKul91}
\by E.~V.~Damaskinsky, P.~P.~Kulish
\paper Deformed oscillators and their applications
\inbook Questions of quantum field theory and statistical physics. Part~10
\serial Zap. Nauchn. Sem. LOMI
\yr 1991
\vol 189
\pages 37--74
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4881}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1111675}
\zmath{https://zbmath.org/?q=an:0783.17004|0744.17010}
\transl
\jour J. Soviet Math.
\yr 1992
\vol 62
\issue 5
\pages 2963--2986
\crossref{https://doi.org/10.1007/BF01097496}
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  • https://www.mathnet.ru/eng/znsl/v189/p37
    • This publication is cited in the following 36 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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