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

[ X ]

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Academic Press Inc Elsevier Science

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In 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.

Açıklama

Anahtar Kelimeler

Bose systems, Fermi systems, Deformed Bose gas model, Deformed Fermi gas model, Intermediate statistics, Anyons, Virial expansion, Composite particles

Kaynak

Annals of Physics

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

409

Sayı

Künye