The condensation of ideal Bose gas in a gravitational field in the framework of Dunkl-statistic

B Hamil, BC Lütfüoğlu - Physica A: Statistical Mechanics and its …, 2023 - Elsevier
In the framework of the theory of Dunkl-deformed bosons, Bose–Einstein condensation of
two and three-dimensional Dunkl-boson gases confined in the one-dimensional …

One-dimensional Dunkl quantum mechanics: a path integral approach

A Benchikha, B Hamil, BC Lütfüoğlu… - Physica Scripta, 2024 - iopscience.iop.org
In the present manuscript, we employ the Feynman path integral method to derive the
propagator in one-dimensional Wigner-Dunkl quantum mechanics. To verify our findings we …

Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential

A Benchikha, B Hamil, BC Lütfüoğlu… - International Journal of …, 2024 - Springer
This paper presents an investigation into one-and three-dimensional harmonic oscillators
with time-dependent mass and frequency, within the framework of the Dunkl formalism …

[HTML][HTML] Dunkl algebra and vacuum pair creation: Exact analytical results via Bogoliubov method

H Bouguerne, B Hamil, BC Lütfüoğlu, M Merad - Nuclear Physics B, 2024 - Elsevier
This paper examines the generation of scalar particle pairs resulting from the application of
an external electric field's Coulomb potential in both three-and two-dimensional scenarios …

The generalized Fokker–Planck equation in terms of Dunkl-type derivatives

RD Mota, D Ojeda-Guillén, MA **coténcatl - Physica A: Statistical …, 2024 - Elsevier
In this work we introduce two different generalizations of the Fokker–Planck equation in (1+
1) dimensions by replacing the spatial derivatives in terms of generalized Dunkl-type …

Investigation of the generalised Wigner–Dunkl harmonic oscillator and its coherent states

P Sedaghatnia, H Hassanabadi, G Junker, J Kriz… - Annals of Physics, 2023 - Elsevier
This study investigates the quantum mechanics of the harmonic oscillator in the presence of
the Generalised-Wigner–Dunkl formalism based on creation and annihilation operators …

Time-Dependent Dunkl-Schr\" odinger Equation with an Angular-Dependent Potential

B Khantoul, B Hamil, A Benchikha… - arxiv preprint arxiv …, 2024 - arxiv.org
The Schr\" odinger equation is a fundamental equation in quantum mechanics, providing a
means of understanding the behavior of quantum systems under a range of potential …

On the gauge invariance of Wigner–Dunkl quantum mechanics in the presence of a constant magnetic field

G Junker, SH Dong, P Sedaghatnia, WS Chung… - Annals of Physics, 2023 - Elsevier
In this paper we consider a charged Wigner–Dunkl quantum system in the presence of a
constant magnetic field. It is shown that this system obeys gauge invariance if minimally …

Condensation of ideal Dunkl–Bose gas in power-law traps

A Hocine, F Merabtine, B Hamil, BC Lütfüoğlu… - Indian Journal of …, 2024 - Springer
We study the phenomenon of Bose–Einstein condensation in two-and one-dimensional
Dunkl–Boson gases confined within a power-law potential, employing the framework of …

Two-parameter deformed quantum mechanics based on Fibonacci calculus and Debye crystal model of two-parameter deformed quantum statistics

A Algin, WS Chung - The European Physical Journal Plus, 2024 - Springer
Starting on the basis of Fibonacci calculus and Fibonacci oscillator algebra, we introduce
the main properties to develop a new formalism for the two-parameter (q 1, q 2)-deformed …