84 citations · 1k across the 55 of their papers we have counts for
5 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…
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…