Browsing by Author "Ami, Ismahane"

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Application of quantum supersymmetry to rovibrational states of diatomic molecules with an energy dependent Morse potential
(Springer, 2022) Boufas, Samia; Yekken, Rabia; Hocine, Elhadj; Ami, Ismahane
The energy-dependent Morse potential is used to study diatomic molecules. Their rovibrational energy eigenvalues are calculated by applying the quantum supersymmetry (SUSY-QM) formalism related to this kind of potentials associated to the Pekeris approximation of the centrifugal term. At first, a general case with this energy dependent potential is investigated in order to test the efficiency of the Pekeris approximation in function of the potential range parameter. A comparison between the obtained analytical results with the exact numerical solutions of the Schrödinger equation in the energy-dependent and the energy-independent cases shows that the numerical results agree well with the analytical expression. An other point is also verified, the curve shape of the potential behavior is studied and compared with the standard Morse potential form and the Rydberg Klein Rees (RKR) data in the case of the ground state of the two diatomic molecules: N2 and O2. The solubility of the general proposed model and the compatibility of the ground energy dependent potential with the RKR data curves represent the key elements that led us to make an extension of this study to realistic cases. Applications of SUSY-QM to some several diatomic molecules: N2, O2, Li2 and HF are shown the effect of this dependence on their rovibrational energy spectra
Eigensolutions of the three-dimensional energy-dependent hyperbolic Pöschl–Teller II potential : application to H 2 , HCl and LiH diatomic molecules
(Springer, 2022) Haddouche, Abdeslam; Yekken, Rabia; Lombard, Roland; Ami, Ismahane
The bound state energy eigenvalues and eigenfunctions of the energy-dependent hyperbolic Pöschl–Teller II (HPT-II) potential with l≥0 are determined by means of quantum supersymmetry (SQM) and shape invariance using Pekeris approximation to the centrifugal term. On the one hand, SQM results are compared to the numerical ones to show the effectiveness of our calculation by SQM method. On the other hand, a comparison is made between energy-dependent and position-only-dependent cases of HPT-II potential to show the effects of energy dependence. An application to H2, HCl and LiH diatomic molecules is considered
Energy spectra with the Dirac equation of the q-deformed generalized Pöschl-Teller potential via the Feynman approach for 39K2a3∑u+
(Springer Nature, 2024) Ghobrini, Amina; Boukabcha, Hocine; Ami, Ismahane
Context: The diatomic molecules of potassium 39K2a3∑u+ is widely used in industrial chemicals and alternative energy. Besides that, 39K2a3∑u+ is very useful for researching molecular interactions and energy states, especially in the context of quantum chemistry and spectroscopy. In the present work, a newly proposed diatomic potential model within relativistic and non-relativistic quantum mechanics has been considered, to obtain corresponding energy eigenvalues and related normalized eigenfunctions. Methods: The Dirac equation has been solved for an arbitrary spin-orbit quantum number κ using the path integral technique with the q-deformed generalized Pöschl-Teller potential (DGPT). By including a Pekeris-type approximation to handle the centrifugal factor, it was possible to obtain the spin and pseudospin-symmetric solution of the relativistic energy eigenvalues and wave equation. To assess the correctness of this work, Maple software was used to present some numerical findings for various values of n and κ. With the constraint λ~>η~+1, it was shown that in the situation of pseudospin symmetry, only bound states exist with negative energy. In the non-relativistic limits, the non-relativistic ro-vibrational energy expression of the diatomic molecule is derived from the relativistic energy equation under spin symmetry. Under Varshni conditions, both vibrational and ro-vibrational energies of the 39K2a3∑u+ molecule were computed and compared with the RKR data. The average absolute percentage deviations from the RKR data obtained for the potassium molecule are 0.5018%. This demonstrates that the (DGPT) model is a very consistent model to study and characterize diatomic molecules.
Klein-Gordon equation in higher dimensions via Feynman propagator with the modified second type Pöschl-Teller potential
(Springer, 2024) Ghobrini, Amina; Boukabcha, Hocine; Ami, Ismahane
Recently, the Feynman approach has been used to study the solution of the D-dimensional Klein-Gordon equation under equal scalar and vector modified second type Pöschl-Teller potentials. Approximation has been made to the centrifugal term and space-time transformation is used to deal easily with the difficult computation problem. We found that there are positive energy states for bound states based on the condition for the wave functions. The results are in agreement with those obtained by using other methods found in the literature.
Momenta of inertia along the fission path for Th, U, Pu, Cm, Cf and Fm Nuclei
(Institute of Atomic Physics, 2015) Ami, Ismahane; Fellah, Mohamed; Allal, Nassima Hosni
Moments of inertia for 93Mo, 194Ir and 196Au
(Editura Academiei Romane, 2014) Ami, Ismahane; Fellah, M.; Allal, N.H.; Oudih, M.R.
Non-relativistic treatment of q-deformed modified Pöschel Teller potential via path integral approach
(Springer, 2024) Ghobrini, Amina; Boukabcha, Hocine; Ami, Ismahane
This study aims to evaluate the D-dimension Feynman propagator to find the spectrum of non-relativistic energies and the corresponding wavefunctions of the ′ ′ℓ′ ′ states for the q-deformed modified Pöschl-Teller potential. We propose an approximation scheme for the centrifugal term of our potential. In addition, an appropriate space-time of Duru-Kleinert transformation has also been performed to convert the radial path integral into a manageable one. Furthermore, two special cases are to be considered, the Pöschl-Teller type potential and the generalized hyperbolic potential, as well as by a combination of illustration and comparison of some diatomic molecules, namely (HCL, NiC, CO, and I2). It is found that this study is substantially marked, which communicated many important methods for solving the Schrödinger’s equation.
Path integral solutions of the Dirac equation with spin symmetry for the generalized Pöschl–Teller model: modeling the COX1∑+ molecule
(Springer Science and Business Media, 2025) Ghobrini, Amina; Boukabcha, Hocine; Ami, Ismahane; Hajigeorgiou, Photos G.
We solve the Dirac equation with the generalized Pöschl–Teller potential (GPT), using the Feynman path integral formalism and then a Pekeris-like approximation to deal with the centrifugal term, and obtain the relativistic and non-relativistic ro-vibrational energy equations for diatomic molecules. In non-relativistic limits, an application of the carbon monoxide molecule in the ground states, mean absolute percentage deviations from experimental RKR and DPF data were obtained. Furthermore, taking into account the binding energy condition the maximum possible rotations for each vibrational quantum number of CO were calculated. We have shown that our results are in good agreement with the data available in the literature (theoretical and experimental data) on COX1∑+ and that GPT is a very robust model for discussing diatomic molecules
Systematic study of the isovector pairing effect on the moment of inertia of proton-rich nuclei in the region 30 <= Z <= 40
(IOP Publishing, 2013) Ami, Ismahane; Fellah, Mohamed; Benhamouda, N.; Allal, Nassima Hosni
A systematic study of the isovector neutron-proton (np) pairing effect on the moment of inertia is performed at zero temperature. This study is based on a recently established expression obtained using the framework of the quantum perturbation theory and the Inglis cranking method, at the limit when the temperature is nil. We considered even–even proton-rich nuclei such as 30 ≤ Z ≤ 40 and N − Z = 0, 2, 4 using the single-particle energies and eigen-states of a deformed Woods-Saxon mean-field. The obtained results are compared to their homologues of the conventional BCS theory (i. e. when only the pairing between like-particles is considered)