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

Journal Article · Tue Oct 15 00:00:00 EDT 2019 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2019.167911· OSTI ID:22852334

Chung, Won Sang ^[1]; Algin, Abdullah ^[2]

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1. Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju 660-701 (Korea, Republic of)
2. Department of Materials Engineering, Faculty of Engineering, Adana Alparslan Türkeş Science and Technology University, Saricam Campus, 01250-Adana (Turkey)

Highlights: • A new quasi-particle algebra is proposed. • The invariance group of the algebra constructed is shown. • The algebra constructed leads to the interpolating statistics. • Anyonic behavior is studied in two dimensions. - Abstract: In this work, we present a new algebraic modelby 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{sub φ}(d)- and SU{sub θ}(d)-symmetries, where φ and θ 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.

• OSTI ID: 22852334
• Journal Information: Annals of Physics, Vol. 409; Other Information: © 2019 Elsevier Inc. All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN GAS
DEFORMED NUCLEI
DISTRIBUTION FUNCTIONS
EQUATIONS OF STATE
FERMI GAS MODEL
MANY-BODY PROBLEM
PARTICLE MODELS
PHASE SHIFT
QUANTUM SYSTEMS
QUASI PARTICLES
THERMODYNAMICS
TWO-DIMENSIONAL SYSTEMS