50 citations · 584 across the 36 of their papers we have counts for
13 papers · 1 filter
Time-dependent Dunkl-Pauli Oscillator
A. Benchikha, B. Hamil, B. C. Lütfüoğlu
This study explores the time-dependent Dunkl-Pauli oscillator in two dimensions. We constructed the Dunkl-Pauli Hamiltonian, which incorporates a time-varying magnetic field and a…
A Path Integral Treatment of Time-dependent Dunkl Quantum Mechanics
A. Benchikha, B. Hamil, B. C. Lütfüoğlu
This paper presents an analytical treatment of the path integral formalism for time-dependent quantum systems within the framework of Wigner-Dunkl mechanics, emphasizing systems wi…
Bounding the Wigner Deformation Parameter in Harmonically Trapped Bose Gases
M. Benarous, A. Hocine, B. C. Lütfüoğlu +1
By examining the internal energy and the heat capacity of a harmonically trapped ideal Bose gas within the Dunkl formalism, we show that the Wigner parameter influences the slopes…
Schwarzschild black hole surrounded by a cloud of strings in the background of perfect fluid dark matter
Bilel Hamil, Bekir Can Lütfüoğlu
This manuscript investigates a Schwarzschild black hole surrounded by perfect fluid dark matter embedded in a cloud of strings. The effects of its surroundings on thermodynamics, t…
Dunkl-Klein-Gordon Equation in Higher Dimensions
B. Hamil, B. C. Lütfüoğlu, M. Merad
In this study, we replace the standard partial derivatives in the Klein-Gordon equation with Dunkl derivatives and obtain exact analytical solutions for the eigenvalues and eigenfu…
Dunkl-Schrodinger Equation in Higher Dimension
B. Hamil, B. C. Lütfüoğlu, M. Merad
This paper presents analytical solutions for eigenvalues and eigenfunctions of the Schrödinger equation in higher dimensions, incorporating the Dunkl operator. Two fundamental quan…
Time-Dependent Dunkl-Schrödinger Equation with an Angular-Dependent Potential
B. C. Lütfüoğlu, A. Benchikha, B. Hamil +1
In this manuscript, we investigate the analytical solution of the time-dependent Schrödinger equation for a harmonic oscillator with time-dependent mass and frequency, coupled with…
One-dimensional Dunkl Quantum Mechanics: A Path Integral Approach
A. Benchikha, B. Hamil, B. C. Lütfüoğlu +1
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 calculat…
Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential
A. Benchikha, B. Khantoul, B. Hamil +1
In this paper, using the Lewis-Riesenfeld method, we determine the explicit form of the wavefunctions of one- and three-dimensional harmonic oscillators with time-dependent mass an…
The ideal gas of Bosons and Fermions in Harmonic Traps in the framework of Extended Uncertainty Principle
B. Hamil, B. C. Lütfüoğlu
This manuscript studies harmonically trapped ideal Bose and Fermi gas systems and their thermodynamics in the framework of the Extended Uncertainty Principle (EUP). In particular,…
Euler-Heisenberg black hole surrounded by quintessence in the background of perfect fluid dark matter: Thermodynamics, Shadows and Quasinormal modes
B. Hamil, B. C. Lütfüoğlu
Current observations show that a significant fraction of the Universe is composed of dark energy and dark matter. In this paper, we investigate the simultaneous effects of these da…
Thermodynamic properties of Quantum-Corrected AdS Black Hole with Phantom Global Monopoles
B. Hamil, B. C. Lütfüoğlu, F. Ahmed +1
In this paper, we introduce a metric ansatz designed to describe spherically symmetric quantum-corrected black hole (BH) space-time within an AdS space background, incorporating bo…
Schwarzschild Black Hole Surrounded by Perfect Fluid Dark Matter in the presence of Quintessence Matter Field
B. Hamil, B. C. Lütfüoğlu
In this paper, we present an exact solution for a spherically symmetric Schwarzschild black hole surrounded by perfect fluid dark matter (PFDM) in the presence of a quintessence fi…