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5 papers · 1 filter
Saturation effect in confined quantum systems with energy-dependent potentials
Ohood Ali AL-Sbaheen, Ahmed Al-Jamel, Mohamed Ghaleb Al-Masaeed
In this paper, we study the saturation effect in the energy or mass spectra of three quantum models with energy-dependent potentials: the harmonic oscillator, the hydrogen atom, an…
Hard confinement of a two-particle quantum system using the variational method
Nataly Rafat sabbah, Mohamed Ghaleb Al-Masaeed, Ahmed Al-Jamel
The variational method is used to study the hard confinement of a two-particle quantum system in two potential models, the Cornell potential and the global potential, with Dirichle…
Quantization of the Bateman damping system with conformable derivative
Tariq AlBanwa, Ahmed Al-Jamel, Eqab. M. Rabei +1
In this work, the conformable Bateman Lagrangian for the damped harmonic oscillator system is proposed using the conformable derivative concept. In other words, the integer derivat…
WKB Approximation with Conformable Operator
Mohamed. Al-Masaeed, Eqab. M. Rabei, Ahmed Al-Jamel
In this paper, the WKB method is extended to be applicable for conformable Hamiltonian systems where the concept of conformable operator with fractional order is used. The WKB…
Response to: [Comment on Quantization of the damped harmonic oscillator [Serhan et al, J. Math. Phys. 59, 082105 (2018)]]
M. Serhan, M. Abusini, Ahmed Al-Jamel +2
This is a response to a recently reported comment [1] on paper [J. Math. Phys.59, 082105 (2018)] regarding the quantization of damped harmonic oscillator using a non-Hermitian Hami…