Modified multi-dimensional q-deformed Newton oscillators: Algebra, interpolating statistics and thermodynamics

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dc.authoridALGIN, ABDULLAH/0000-0002-0756-2597
dc.contributor.authorChung, Won Sang
dc.contributor.authorAlgin, Abdullah
dc.date.accessioned2025-01-06T17:36:43Z
dc.date.available2025-01-06T17:36:43Z
dc.date.issued2019
dc.description.abstractIn this work, we present a new algebraic model by constructing the modified multi-dimensional q-deformed bosonic and fermionic Newton oscillator algebras. This construction leads effectively to describe interpolating statistics, which can be used to approach the properties of quasi-particle excitations occurring in many-body interacting quantum systems. It is shown that the model algebras are endowed with the SU phi(d)- and SU theta(d)-symmetries, where phi and theta are real parameters describing the special phase shifts between two different modes of the models. Particular emphasis is given to the two-dimensional case, which reveals a suitable framework for analyzing anyonic behavior of the models. Furthermore, we discuss the effects of deformation on the general thermodynamical and statistical properties of gas models of these interpolating statistics particles such as the q-deformed statistical distribution function and the equation of state in two and three dimensions. Finally, we concisely point out other possible physical applications of the present deformed (quasi)particle models. (C) 2019 Elsevier Inc. All rights reserved.
dc.identifier.doi10.1016/j.aop.2019.167911
dc.identifier.issn0003-4916
dc.identifier.issn1096-035X
dc.identifier.scopus2-s2.0-85070692002
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1016/j.aop.2019.167911
dc.identifier.urihttps://hdl.handle.net/20.500.14669/1979
dc.identifier.volume409
dc.identifier.wosWOS:000488421900025
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAcademic Press Inc Elsevier Science
dc.relation.ispartofAnnals of Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241211
dc.subjectBose systems
dc.subjectFermi systems
dc.subjectDeformed Bose gas model
dc.subjectDeformed Fermi gas model
dc.subjectIntermediate statistics
dc.subjectAnyons
dc.subjectVirial expansion
dc.subjectComposite particles
dc.titleModified multi-dimensional q-deformed Newton oscillators: Algebra, interpolating statistics and thermodynamics
dc.typeArticle

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