Investigation of the generalised Wigner-Dunkl harmonic oscillator and its coherent states

DOI10.1016/J.AOP.2023.169445MaRDI QIDQ6087301

Hassan Hassanabadi, Parisa Sedaghatnia, Won-Sang Chung, Georg Junker, S. Hassanabadi, Jan Kříž

Publication date: 15 November 2023

Published in: Annals of Physics (Search for Journal in Brave)

zbMATH Keywords

coherent statesMandel parameter(antibunching effectgeneralised-Wigner-Dunkl operatorpropaga)tor

Mathematics Subject Classification ID

Coherent states (81R30) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Reflection groups, reflection geometries (51F15) Propagation of singularities; initial value problems on manifolds (58J47) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Harmonic analysis and PDEs (42B37)

Related Items (1)

On the path integral formulation of Wigner–Dunkl quantum mechanics

Cites Work

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• Bounds for ratios of modified Bessel functions and associated Turán-type inequalities
• The \(q\)-deformed harmonic oscillator, coherent states, and the uncertainty relation
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• Calogero-Moser-Sutherland models. Workshop, Centre de Recherches Mathématique, Montréal, Canada, March 10--15, 1997
• Jaynes-Cummings model and the deformed-oscillator algebra
• \(q\)-deformed coherent states for \(q\)-deformed photon by using the Tsallis's \(q\)-deformed exponential function in the non-extensive thermodynamics
• The Dunkl oscillator in the plane. II: Representations of the symmetry algebra
• Two-sided ideals in \(q\)-deformed Heisenberg algebras.
• Coherence and squeezing in Z₃ -graded spin coherent states
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• The condensation of ideal Bose gas in a gravitational field in the framework of Dunkl-statistic

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