243 citations
- United Arab Emirates UniversityAE22 papers
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20 papers · 1 filter
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…
Comment on: "Quantum dynamics of a general time-dependent coupled oscillator"
R. Zerimeche, N. Mana, M. Sekhri +2
By using dynamical invariants theory, Hassoul et al. [1,2] investigate the quantum dynamics of two (2D) and three (3D) dimensional time-dependent coupled oscillators. They claim th…
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…
A real expectation value of the time-dependent non-Hermitian Hamiltonians
F. Kecita, A. Bounames, M. Maamache
With the aim to solve the time-dependent Schrödinger equation associated to a time-dependent non-Hermitian Hamiltonian, we introduce a unitary transformation that maps the Hamilton…
Deformed Heisenberg Algebra with a minimal length: Application to some molecular potentials
Djamil Bouaziz
We review the essentials of the formalism of quantum mechanics based on a deformed Heisenbeg algebra, leading to the existence of a minimal length scale. We compute in this context…