Multi-dimensional q-deformed bosonic Newton oscillators and the related q-calculus, q-coherent states, and Hermite q-polynomials

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dc.authoridALGIN, ABDULLAH/0000-0002-0756-2597
dc.contributor.authorChung, Won Sang
dc.contributor.authorAlgin, Abdullah
dc.date.accessioned2025-01-06T17:45:13Z
dc.date.available2025-01-06T17:45:13Z
dc.date.issued2021
dc.description.abstractThe multi-dimensional q-deformed bosonic Newton oscillator algebra with SU(d)-symmetry is considered. In this framework, we first introduce some new properties concerning the q-deformed calculus related to the algebra, and we then discuss possible consequences of applying these deformed oscillators in some quantum optical issues such as in the construction of coherent states and their effects on the photon statistics. Second, we investigate the role of q-deformation on both the energy levels and the wave functions of the bosonic Newton oscillators by constructing the q-deformed Hermite polynomials. The results obtained in this work might have some implications for studies on quantum information based technologies such as in photonic quantum computing.
dc.identifier.doi10.1063/5.0005014
dc.identifier.issn0022-2488
dc.identifier.issn1089-7658
dc.identifier.issue3
dc.identifier.urihttps://doi.org/10.1063/5.0005014
dc.identifier.urihttps://hdl.handle.net/20.500.14669/3360
dc.identifier.volume62
dc.identifier.wosWOS:000630135500001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherAmer Inst Physics
dc.relation.ispartofJournal of Mathematical Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241211
dc.titleMulti-dimensional q-deformed bosonic Newton oscillators and the related q-calculus, q-coherent states, and Hermite q-polynomials
dc.typeArticle

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