50 citations · 584 across the 36 of their papers we have counts for
8 papers · 2 filters
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…
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…