https://doi.org/10.1140/epjp/i2019-12921-6
Regular Article
Applying quantum supersymmetry and perturbation theory to the energy-dependent Hulthén potential
1
Département de Physique Théorique, Faculté de Physique, Université des Sciences et de la Technologie Houari Boumedienne, BP 32 El-Alia, 16111, Alger, Algeria
2
Groupe de Physique Théorique, Institut de Physique Nucléaire, IN2P3 - CNRS, Université Paris-Sud 11, 91406, Orsay Cedex, France
* e-mail: hocineelhadj@gmail.com
Received:
2
July
2019
Accepted:
8
August
2019
Published online:
12
November
2019
We deal with the energy-dependent Hulthén potential, by using the supersymmetric quantum mechanics and the first-order perturbation theory. We consider the Hulthén potential linearly dependent on the energy which is introduced in the coupling constant. We evaluate the energy eigenvalues and the corresponding reduced radial eigenfunctions. We compare the analytical results with the numerical solutions of the Schrödinger equation in the energy-dependent and the energy-independent cases. We then investigate the screening effect in order to determine the critical screening parameter values for each state. After that, we look into the absorption oscillator strengths for different transitions.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
