Yazar "Algin, Abdullah" seçeneğine göre listele

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    Hybrid modeling of quasi-particles: Algebra, Fock space and condensation
    (Pergamon-Elsevier Science Ltd, 2018) Chung, Won Sang; Algin, Abdullah
    In this study, we first introduce a new quasi-particle algebra, which enables us to effectively describe a unified framework for both bosons and fermions. We then study general thermodynamical and statistical properties of a hybrid-type gas model of these quasi-particles. In this context, we specifically focus on the conditions under which the hybrid-type quasi-particle gas condensation would occur in the present model. The results obtained in this work reveal that the present gas model of quasi-particles can be used to approximate non-linear behavior observed in composite particle systems such as in studies on the phenomenon of high-T-c superconductivity in a given material. (C) 2018 Elsevier Ltd. All rights reserved.
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    Öğe
    Imprecise probability through f-probability and its statistical physical implications
    (Pergamon-Elsevier Science Ltd, 2020) Chung, Won Sang; Algin, Abdullah
    In this work, we present an approach to describe imprecise probability through an effective probability theory, called the f-probability. We develop a bijective and monotonous map from the precise probability in order to construct the f-probability theory based on the f -addition, f-subtraction, f-multiplication and f-division. We apply the f-probability to the Bernoulli trial and derive the f-binomial distribution. Finally, we obtain the non-extensive entropy through the f-probability theory, and give its statistical physical implications on several areas of potential applications. PACS number(s): 02.50.Cw, 05.20.-y; 05.90.+m (C) 2020 Elsevier Ltd. All rights reserved.
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    Modified multi-dimensional q-deformed Newton oscillators: Algebra, interpolating statistics and thermodynamics
    (Academic Press Inc Elsevier Science, 2019) Chung, Won Sang; Algin, Abdullah
    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.
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    Öğe
    Multi-dimensional q-deformed bosonic Newton oscillators and the related q-calculus, q-coherent states, and Hermite q-polynomials
    (Amer Inst Physics, 2021) Chung, Won Sang; Algin, Abdullah
    The 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.