A Comparative Study on q-Deformed Fermion Oscillators

A Algin - International Journal of Theoretical Physics, 2011 - Springer
In this paper, the algebras, representations, and thermostatistics of four types of fermionic q-
oscillator models, called fermionic Newton (FN), Chaichian-Kulish-Ng (CKN), Parthasarathy …

Intermediate statistics as a consequence of deformed algebra

A Lavagno, PN Swamy - Physica A: Statistical Mechanics and its …, 2010 - Elsevier
We present a formulation of deformed oscillator algebra which leads to intermediate
statistics as a continuous interpolation between Bose–Einstein and Fermi–Dirac statistics. It …

Calculating statistical distributions from operator relations: The statistical distributions of various intermediate statistics

WS Dai, M Xie - Annals of Physics, 2012 - Elsevier
In this paper, we give a general discussion on the calculation of the statistical distribution
from a given operator relation of creation, annihilation, and number operators. Our result …

Application of Fibonacci oscillators in the Debye model

AAA Marinho, FA Brito, C Chesman - Journal of Physics …, 2014 - iopscience.iop.org
In this paper we study the thermodynamics of a crystalline solid by applying q-deformed
algebra of Fibonacci oscillators through the generalized Fibonacci sequence of two real and …

Quantum Hall effect in q-formalism based on Fermi gas model

E Mohammadikhabaz, B Lari… - Modern Physics Letters …, 2022 - World Scientific
To the best of our knowledge, for the first time, the quantum Hall effect (QHE) is considered
in thermal non-equilibrium conditions (TNEC) via q-algebra. The q-algebra is a topological …

[HTML][HTML] Fibonacci oscillators in the Landau diamagnetism problem

AA Marinho, FA Brito, C Chesman - Physica A: Statistical Mechanics and its …, 2014 - Elsevier
We address the issue of the Landau diamagnetism problem via q-deformed algebra of
Fibonacci oscillators through its generalized sequence of two real and independent …

[HTML][HTML] Thermal and electrical properties of a solid through Fibonacci oscillators

AA Marinho, FA Brito, C Chesman - Physica A: Statistical Mechanics and its …, 2016 - Elsevier
We investigate the thermodynamics of a crystalline solid applying q-deformed algebra of
Fibonacci oscillators through the generalized Fibonacci sequence of two real and …

Bose–Einstein condensation in a gas of the bosonic Newton oscillators

A Algin, E Arslan - Journal of Physics A: Mathematical and …, 2008 - iopscience.iop.org
The multi-dimensional q-deformed bosonic Newton oscillator algebra with U (d)-symmetry is
considered. The high-and low-temperature thermostatistical properties of a gas of the q …

-Deformed Tamm–Dancoff oscillators: Representation, fermionic extension and physical application

WS Chung, A Algin - International Journal of Modern Physics B, 2015 - World Scientific
In this paper, the q-deformed bosonic Tamm–Dancoff oscillator algebra is considered. First,
the quantum algebraic and representative properties of these deformed bosons are …

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

WS Chung, A Algin - Annals of Physics, 2019 - Elsevier
In this work, we present a new algebraic modelby constructing the modified multi-
dimensional q-deformed bosonic and fermionic Newton oscillator algebras. This …