Nonclassical properties of the Arik–Coon q−1-oscillator coherent states on the noncommutative complex plane ℂq

DOI10.1142/S0219887817501651zbMath1386.81094OpenAlexW2743411048MaRDI QIDQ4599431

M. Sayyah-Fard, Hossein Fakhri

Publication date: 2 January 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887817501651

zbMATH Keywords

\(q\)-coherent statesantibunching effectsqueezing effectsub-Poissonian statisticsArik-Coon \(q\)-oscillatorviolation of Heisenberg's inequality

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum optics (81V80) Groups and algebras in quantum theory and relations with integrable systems (81R12) Coherent states (81R30) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (3)

Triplet \(q\)-cat states of the Biedenharn-MacFarlane \(q\)-oscillator with \(q > 1\) ⋮ \(q\)-coherent states associated with the noncommutative complex plane \(\mathbb C_{q^2}\) for the Biedenharn-Macfarlane \(q\)-oscillator ⋮ Nonclassicality of photon-added \(q\)-squeezed first excited states

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