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Zap. Nauchn. Sem. POMI, 2006, Volume 335, Pages 75–99
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This article is cited in 5 scientific papers (total in 5 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
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.
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English version:
Journal of Mathematical Sciences (New York), 2007, 143:1, 2738–2753
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UDC:
517.9
Received: 04.09.2006
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://www.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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http://mi.mathnet.ru/eng/znsl210 http://mi.mathnet.ru/eng/znsl/v335/p75
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
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V. V. Borzov, “Generalized oscillator and its coherent states”, Theoret. and Math. Phys., 153:3 (2007), 1656–1670
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V. V. Borzov, E. V. Damaskinsky, “Generalized coherent states for oscillators associated with the Charlier
$q$-polynomials”, Theoret. and Math. Phys., 155:1 (2008), 536–543
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Fakhri H., Dehghani A., “Comment on: “Barut-Girardello and Klauder-Perelomov coherent states for the Kravchuk functions” [J. Math. Phys. 48 (2007), no. 11, 112106, 7 pp.] by A. Chenaghlou and O. Faizy”, J. Math. Phys., 49:4 (2008), 042101, 2 pp.
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Yu. G. Rudoy, “The Bogoliubov–Tyablikov Green's function method in the quantum theory of magnetism”, Theoret. and Math. Phys., 168:3 (2011), 1318–1329
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Miranowicz A., Paprzycka M., Pathak A., Nori F., “Phase-Space Interference of States Optically Truncated by Quantum Scissors: Generation of Distinct Superpositions of Qudit Coherent States by Displacement of Vacuum”, Phys. Rev. A, 89:3 (2014), 033812
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