https://doi.org/10.1140/epjp/s13360-022-03277-3
Regular Article
Eigensolutions of the three-dimensional energy-dependent hyperbolic Pöschl–Teller II potential: application to 
, HCl and LiH diatomic molecules
1
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
a
ab.haddouche@univ-boumerdes.dz
Received:
18
May
2022
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
