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 …

Thermodynamical properties of a deformed schwarzschild black hole via dunkl generalization

P Sedaghatnia, H Hassanabadi, J Porfírio… - arxiv preprint arxiv …, 2023 - arxiv.org
In this paper, we construct a deformed Schwarzschild black hole from the de Sitter gauge
theory of gravity within Dunkl generalization and we determine the metric coefficients versus …

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 …

Ideal Bose gas and blackbody radiation in the Dunkl formalism

F Merabtine, B Hamil, BC Lütfüoğlu… - Journal of Statistical …, 2023 - iopscience.iop.org
Recently, deformed quantum systems have received lots of attention in the literature. Dunkl
formalism differs from others by containing the difference-differential and reflection operator …

Exact solutions of the 2D Dunkl–Klein–Gordon equation: The Coulomb potential and the Klein–Gordon oscillator

RD Mota, D Ojeda-Guillén… - … Physics Letters A, 2021 - World Scientific
We introduce the Dunkl–Klein–Gordon (DKG) equation in 2D by changing the standard
partial derivatives by the Dunkl derivatives in the standard Klein–Gordon (KG) equation. We …

[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 …

Exact solution to two dimensional Dunkl harmonic oscillator in the Non-Commutative phase-space

S Hassanabadi, P Sedaghatnia, WS Chung… - The European Physical …, 2023 - Springer
In this paper, we examine the harmonic oscillator problem in non-commutative phase space
(NCPS) by using the Dunkl derivative instead of the habitual one. After defining the Hamilton …

Dunkl graphene in constant magnetic field

B Hamil, BC Lütfüoğlu - The European Physical Journal Plus, 2022 - Springer
Graphene-based materials are thought to revolutionize entire industries. Therefore, many
researches are being carried on graphene theoretically and experimentally. On the other …

New deformed Heisenberg algebra with reflection operator

WS Chung, H Hassanabadi - The European Physical Journal Plus, 2021 - Springer
In this paper, a new generalization of Dunkl derivative with three parameters is proposed.
With a help of the generalized Dunkl derivative, a new deformed Heisenberg algebra with …