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.

doi:10.1016/j.aop.2023.169445

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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 operator; Propagator; Coherent states; Mandel parameter; (Anti)bunching effect; ALGEBRA; POLYNOMIALS; SYMMETRY

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

권: 458

언어: ENG

출판사: Academic Press

발행국가: 미국

ISSN: E 1096-035X
P 0003-4916