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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 335, Pages 75–99 (Mi znsl210)  
This article is cited in 7 scientific papers (total in 7 papers)

Coherent states for generalized oscillator in finite-dimensional Hilbert space

V. V. Borzova, E. V. Damaskinskyb

a St. Petersburg State University of Telecommunications
b Military Technical University
Full-text PDF (297 kB) Citations (7)
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Abstract: The costruction of oscillator-like systems connected with the given set of orthogonal polynomials and coherent states for such systems developed by authors is extended to the case of the systems with finite-dimensional state space. As example we concider the generalized oscillator connected with Krawtchouk polynomials.
Received: 04.09.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 143, Issue 1, Pages 2738–2753
DOI: https://doi.org/10.1007/s10958-007-0161-y
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. V. Borzov, E. V. Damaskinsky, “Coherent states for generalized oscillator in finite-dimensional Hilbert space”, Questions of quantum field theory and statistical physics. Part 19, Zap. Nauchn. Sem. POMI, 335, POMI, St. Petersburg, 2006, 75–99; J. Math. Sci. (N. Y.), 143:1 (2007), 2738–2753
Citation in format AMSBIB
\Bibitem{BorDam06}
\by V.~V.~Borzov, E.~V.~Damaskinsky
\paper Coherent states for generalized oscillator in finite-dimensional Hilbert space
\inbook Questions of quantum field theory and statistical physics. Part~19
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 335
\pages 75--99
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl210}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2269752}
\zmath{https://zbmath.org/?q=an:1116.81031}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 143
\issue 1
\pages 2738--2753
\crossref{https://doi.org/10.1007/s10958-007-0161-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247480475}
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  • https://www.mathnet.ru/eng/znsl/v335/p75
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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