6 papers · 1 filter
Dunkl--Pauli Oscillator in an Aharonov--Bohm Flux: Restriction of Admissible Angular Sectors and Thermodynamic Signatures
Ahmed Tedjani, Boubakeur Khantoul
We study a two-dimensional Dunkl--Pauli oscillator in the presence of an Aharonov--Bohm (AB) flux. The combination of reflection symmetry (via Dunkl operators) and a topological ga…
Time-Dependent Dunkl-Pauli Oscillator in the Presence of the Aharonov-Bohm Effect
Boubakeur Khantoul, Ahmed Tedjani
We present an exact, time-dependent solution for a two-dimensional Pauli oscillator deformed by Dunkl operators in the presence of an Aharonov--Bohm (AB) flux. By replacing convent…
On a Class of Time-Dependent Non-Hermitian Hamiltonians
F. Kecita, B. Khantoul, A. Bounames
We study a class of time-dependent (TD) non-Hermitian Hamiltonians that can be transformed into a time-independent pseudo-Hermitian Hamiltonian using…
Uncertainty Relation for Pseudo-Hermitian Quantum Systems
Boubakeur Khantoul, Bilel Hamil, Amar Benchikha
This study investigates pseudo-Hermitian quantum mechanics, where the Hamiltonian satisfies a modified Hermiticity condition. We extend the uncertainty relation for such systems, d…
Time-Dependent Dunkl-Schrödinger Equation with an Angular-Dependent Potential
B. C. LütfüoÄlu, 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 wit…
One-dimensional Dunkl Quantum Mechanics: A Path Integral Approach
A. Benchikha, B. Hamil, B. C. LütfüoÄlu +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…