55 citations · 121 across the 10 of their papers we have counts for
10 papers
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. 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…
Exact solutions for time-dependent complex symmetric potential well
Boubakeur Khantoul, A. Bounames
Using the pseudo-invariant operator method, we investigate the model of a particle with a time-dependent mass in a complex time-dependent symmetric potential well $V\left( x,t\righ…
On the invariant method for the time-dependent non-Hermitian Hamiltonians
Boubakeur Khantoul, A. Bounames, M. Maamache
We propose a scheme to deal with certain time-dependent non-Hermitian Hamiltonian operators that generate a real phase in their time-evolution. This involves the use of inva…
Time-dependent massless Dirac fermions in graphene
Boubakeur Khantoul, Andreas Fring
Using the Lewis-Riesenfeld method of invariants we construct explicit analytical solutions for the massless Dirac equation in 2+1 dimensions describing quasi-particles in graphene.…
Hermitian versus non-Hermitian representations for minimal length uncertainty relations
Sanjib Dey, Andreas Fring, Boubakeur Khantoul
We investigate four different types of representations of deformed canonical variables leading to generalized versions of Heisenberg's uncertainty relations resulting from noncommu…