Generalized q-bosons and their squeezed states

DOI10.1088/0305-4470/24/9/019zbMath0736.17035OpenAlexW2026053312MaRDI QIDQ3978204

Jacob Katriel, Allan I. Solomon

Publication date: 25 June 1992

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/24/9/019

zbMATH Keywords

electromagnetic fieldquantum groupscoherent states\(q\)-boson operatorsHolstein-Primakoff realizationsquantum Heisenberg-Weyl algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Applications of Lie (super)algebras to physics, etc. (17B81)

Related Items (15)

Generalized squeezed states ⋮ A \(q\)-analogue of a two-dimensional hydrogen atom ⋮ Even and odd \(q\)-coherent states in a finite-dimensional basis and their squeezing properties ⋮ Polynomial deformations of the Lie algebra \({\mathfrak {sl}} (2)\) in problems of quantum optics ⋮ \(q\)-coherent states associated with the noncommutative complex plane \(\mathbb C_{q^2}\) for the Biedenharn-Macfarlane \(q\)-oscillator ⋮ Nonclassical properties of the Arik–Coon q−1-oscillator coherent states on the noncommutative complex plane ℂq ⋮ \(q\)-deformed Barut-Girardello \(\mathrm{su}(1,1)\) coherent states and Schrödinger cat states ⋮ Arik–Coon q-oscillator cat states on the noncommutative complex plane ℂq−1 and their nonclassical properties ⋮ Multiboson expansions for the \(q\)-oscillator and \(\text{su}(1,1)_q\) ⋮ Jaynes-Cummings model and the deformed-oscillator algebra ⋮ Chaotic state for \(q\)-bosons and its \(P\)-representation ⋮ \(q\)-deformed angular momentum operator and possible application to triatomic molecules ⋮ Higher moment properties of \(k\)-boson \(q\)-coherent states ⋮ Arbitrary-order Hermite generating functions for obtaining arbitrary-order coherent and squeezed states ⋮ A Model Which Interpolates Between the Jaynes-Cummings Model and the Buck-Sukumar Model

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