Investigation of the generalised Wigner-Dunkl harmonic oscillator and its coherent states
  • Sedaghatnia, P.
  • Hassanabadi, H.
  • Junker, G.
  • Kriz, J.
  • Hassanabadi, S.
  • ... Chung, W. S.
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초록

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.

키워드

Generalised-Wigner-Dunkl operatorPropagatorCoherent statesMandel parameter(Anti)bunching effectALGEBRAPOLYNOMIALSSYMMETRY
제목
Investigation of the generalised Wigner-Dunkl harmonic oscillator and its coherent states
저자
Sedaghatnia, P.Hassanabadi, H.Junker, G.Kriz, J.Hassanabadi, S.Chung, W. S.
DOI
10.1016/j.aop.2023.169445
발행일
2023-11
유형
Article
저널명
Annals of Physics
458