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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 308, Pages 48–66 (Mi znsl827)  
This article is cited in 17 scientific papers (total in 17 papers)

Generalized coherent states for $q$-oscillator connected with discrete $q$-Hermite polynomials

V. V. Borzova, E. V. Damaskinskyb

a St. Petersburg State University of Telecommunications
b Military Technical University
Full-text PDF (270 kB) Citations (17)
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Abstract: We are continuing here the study of generalized coherent states of Barut–Girardello type for the oscillator-like systems connected with the given set of orthogonal polynomials. In this work we construct the family of coherent states associated with discrete $q$-Hermite polynomials of the II-type and prove the over-completeness of this family of states by constructing the measure for unity decomposition for this family of coherent states.
Received: 21.12.2003
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 132, Issue 1, Pages 26–36
DOI: https://doi.org/10.1007/s10958-005-0472-9
Bibliographic databases:
UDC: 517.944
Language: Russian
Citation: V. V. Borzov, E. V. Damaskinsky, “Generalized coherent states for $q$-oscillator connected with discrete $q$-Hermite polynomials”, Mathematical problems in the theory of wave propagation. Part 33, Zap. Nauchn. Sem. POMI, 308, POMI, St. Petersburg, 2004, 48–66; J. Math. Sci. (N. Y.), 132:1 (2006), 26–36
Citation in format AMSBIB
\Bibitem{BorDam04}
\by V.~V.~Borzov, E.~V.~Damaskinsky
\paper Generalized coherent states for $q$-oscillator connected with discrete $q$-Hermite polynomials
\inbook Mathematical problems in the theory of wave propagation. Part~33
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 308
\pages 48--66
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl827}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2092611}
\zmath{https://zbmath.org/?q=an:1130.81039}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 132
\issue 1
\pages 26--36
\crossref{https://doi.org/10.1007/s10958-005-0472-9}
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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