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Investigation of the generalised Wigner-Dunkl harmonic oscillator and its coherent states
- Issue Date
- Nov-2023
- Publisher
- Academic Press
- Keywords
- Generalised-Wigner-Dunkl operator; Propagator; Coherent states; Mandel parameter; (Anti)bunching effect
- Citation
- Annals of Physics, v.458
- Indexed
- SCIE
SCOPUS
- Journal Title
- Annals of Physics
- Volume
- 458
- ISSN
- 0003-4916
1096-035X
- Abstract
- This study investigates the quantum mechanics of the harmonic oscillator in the presence of the Generalised-Wigner-Dunkl for-malism 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.& COPY; 2023 Elsevier Inc. All rights reserved.
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