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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 493, Pages 73–87 (Mi znsl6960)  

Calculating the Mandel parameter for an oscillator-like system generated by generalized Chebyshev polynomials

V. V. Borzova, E. V. Damaskinskiyb

a St. Petersburg State University of Telecommunications
b Military Technical University
References:
Abstract: In this paper, we calculate the Mandel parameter $Q_M$ for an oscillator-like system generated by generalized Chebyshev polynomials [1–3]. The sign of the Mandel parameter $Q_M$ characterizes the deviation of the excitation statistics from the Poisson one. This work is a continuation of our works [4, 5].
Key words and phrases: Mandel parameter, coherent States, generalized Chebyshev polynomials, generalized Chebyshev oscillator.
Received: 02.11.2020
Document Type: Article
UDC: 517
Language: Russian
Citation: V. V. Borzov, E. V. Damaskinskiy, “Calculating the Mandel parameter for an oscillator-like system generated by generalized Chebyshev polynomials”, Mathematical problems in the theory of wave propagation. Part 50, Zap. Nauchn. Sem. POMI, 493, POMI, St. Petersburg, 2020, 73–87
Citation in format AMSBIB
\Bibitem{BorDam20}
\by V.~V.~Borzov, E.~V.~Damaskinskiy
\paper Calculating the Mandel parameter for an oscillator-like system generated by generalized Chebyshev polynomials
\inbook Mathematical problems in the theory of wave propagation. Part~50
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 493
\pages 73--87
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6960}
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  • https://www.mathnet.ru/eng/znsl/v493/p73
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