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

2020/11/28 by V. V. Borzov, Borzov, V. V., E. V. Damaskinsky +1
Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.2011.14140

openalex publication_date 2020/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we calculate the Mandel parameter Q_M for an oscillator-like system generated by generalized Chebyshev polynomials \cite01, \cite02, \cite03. 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 \cite04, \cite05.

Related

• Realization by a differential operator of the annihilation operator for generalized Chebyshev oscillator
• Dynamics of order parameters for a population of globally coupled oscillators
• The quartic oscillator in an external field and the statistical physics of highly anisotropic solids
• Generalized Moyal structures in phase space, kinetic equations and their classical limit: II. Applications to harmonic oscillator models
• Analytic Model for the Energy Spectrum of the Anharmonic Oscillator