V. V. Borzov, E. V. Damaskinskiy, “Calculating the Mandel parameter for an oscillator-like system generated by generalized Chebyshev polynomials”, Zap. Nauchn. Sem. POMI, 2020, Volume 493,Pages <nobr>73

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

V. V. Borzov^a, E. V. Damaskinskiy^b

^a St. Petersburg State University of Telecommunications
^b Military Technical University

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.

UDC: 517

Received: 02.11.2020