Eigensolutions of the three-dimensional energy-dependent hyperbolic Pöschl–Teller II potential: application to , HCl and LiH diatomic molecules
Département de Physique, Faculté des Sciences, Université M’Hamed Bougara de Boumerdes, Route de la gare Ferroviaire, 35000, Boumerdes, Algeria
2 Département de Physique Théorique, Faculté de Physique, Université des Sciences et de la Technologie Houari Boumedienne, BP 32 El-Alia, Bab Ezzouar, 16111, Algiers, Algeria
3 Département des classes préparatoires, Ecole Nationale Supérieure des Travaux Publics, BP 32 Rue Sidi Garidi, 16006, Kouba, Algiers, Algeria
4 Groupe de Physique Théorique, IJClab, Orsay, 91406, Orsay Cedex, France
Accepted: 7 September 2022
Published online: 18 September 2022
The bound state energy eigenvalues and eigenfunctions of the energy-dependent hyperbolic Pöschl–Teller II (HPT-II) potential with 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 , HCl and LiH diatomic molecules is considered.
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