56 citations · 195 across the 22 of their papers we have counts for
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Quantum Dynamics of a Particle in a Linear Potential: Invariant Operator Approach and Discrete Spectrum Solutions
Mustapha Maamache, Aymen Bendjoudl
We investigate the quantum dynamics of a particle subjected to a linear potential using the Lewis--Riesenfeld invariant operator method. Starting from the time-dependent Schrödinge…
On the η pseudo PT symmetry theory for non-Hermitian Hamiltonians: time-dependent systems
Mustapha Maamache
In the context of non-Hermitian quantum mechanics, many systems are known to possess a pseudo PT symmetry , i.e. the non-Hermitian Hamiltonian H is related to its adjoint H^{†} via…
A new symmetry theory for non-Hermitian Hamiltonians
Mustapha Maamache, Nour El Houda Absi
The η pseudo PT symmetry theory, denoted by the symbol η, explores the conditions under which non-Hermitian Hamiltonians can possess real spectra despite the violation of PT symmet…
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…
Inverted oscillator: pseudo hermiticity and coherent states
Rahma Zerimeche, Rostom Moufok, Nadjat Amaouche +1
It is known that the standard and the inverted harmonic oscillator are different. Replacing thus of ω by iω in the regular oscillator is necessary going to give the inverted oscill…
Anti-PT-symmetric harmonic oscillator and its relation to the inverted harmonic oscillator
Nadjat Amaouche, Ishak Bouguerche, Rahma Zerimeche +1
We treat the quantum dynamics of a harmonic oscillator as well as its inverted counterpart in the Schrödinger picture. Generally in the most papers of the literature, the inverted…