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

Sedaghatnia P, Hassanabadi H, Junker G, Kr̆iz̆ J, Hassanabadi S, Chung WS (2023)


Publication Type: Journal article

Publication year: 2023

Journal

Book Volume: 458

Article Number: 169445

DOI: 10.1016/j.aop.2023.169445

Abstract

This study investigates the quantum mechanics of the harmonic oscillator in the presence of the Generalised-Wigner–Dunkl formalism based on creation and annihilation operators, which include also the reflection operator. We provide explicit results on the spectral properties of the Hamiltonian and an explicit form of the quantum propagator. Deformed coherent states are introduced and their non-classical properties such as photon statistics, Mandel parameter, and bunching or anti-bunching effect are studied.

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How to cite

APA:

Sedaghatnia, P., Hassanabadi, H., Junker, G., Kr̆iz̆, J., Hassanabadi, S., & Chung, W.S. (2023). Investigation of the generalised Wigner–Dunkl harmonic oscillator and its coherent states. Annals of Physics, 458. https://dx.doi.org/10.1016/j.aop.2023.169445

MLA:

Sedaghatnia, P., et al. "Investigation of the generalised Wigner–Dunkl harmonic oscillator and its coherent states." Annals of Physics 458 (2023).

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