https://doi.org/10.1140/epjp/i2017-11729-8
Regular Article
Eigen solutions and entropic system for Hellmann potential in the presence of the Schrödinger equation
1
Department of Physical Sciences, Landmark University, Omu-Aran, Nigeria
2
Theoretical Physics Group, Physics Department, University of Port Harcourt, Port Harcourt, Nigeria
3
Physics Department, University of Benin, Benin, Nigeria
* e-mail: oaclems14@physicist.net
Received:
26
April
2017
Accepted:
28
September
2017
Published online:
7
November
2017
By using the supersymmetric approach, we studied the approximate analytic solutions of the three-dimensional Schrödinger equation with the Hellmann potential by applying a suitable approximation scheme to the centrifugal term. The solutions of other useful potentials, such as Coulomb potential and Yukawa potential, are obtained by transformation of variables from the Hellmann potential. Finally, we calculated the Tsallis entropy and Rényi entropy both in position and momentum spaces under the Hellmann potential using integral method. The effects of these entropies on the angular momentum quantum number are investigated in detail.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2017
