Approximate solutions of Schrödinger equation for the Hua plus modified Eckart potential with the centrifugal term

C. P. Onyenegecha; U. M. Ukewuihe; A. I. Opara; C. B. Agbakwuru; C. J. Okereke; N. R. Ugochukwu; S. A. Okolie; I. J. Njoku

doi:10.1140/epjp/s13360-020-00595-2

EPJ

Approximate solutions of Schrödinger equation for the Hua plus modified Eckart potential with the centrifugal term

C. P. Onyenegecha¹^a, U. M. Ukewuihe¹, A. I. Opara², C. B. Agbakwuru⁴, C. J. Okereke¹, N. R. Ugochukwu³, S. A. Okolie⁵ and I. J. Njoku¹

¹ Department of Physics, Federal University of Technology, Owerri, Nigeria
² Department of Geology, Federal University of Technology, Owerri, Nigeria
³ Department of Mathematics, Federal University of Technology, Owerri, Nigeria
⁴ Department of Physics/Electronics, Federal Polytechnic Nekede, Owerri, Nigeria
⁵ Department of Computer Science, Federal University of Technology, Owerri, Nigeria

Received: 27 April 2020
Accepted: 7 July 2020
Published online: 15 July 2020

Abstract

The approximate solutions of Schrödinger equation for the Hua plus modified Eckart potential are obtained using the parametric Nikiforov–Uvarov method. By the use of a suitable approximation to deal with the centrifugal term, we obtained analytical expressions of the eigenvalues and corresponding wave functions. Numerical results of the energy eigenvalue are presented. Also, special cases of this potential are discussed and their energy eigenvalues evaluated.

SFP Congress
3-7 July 2023
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EPJ

Approximate solutions of Schrödinger equation for the Hua plus modified Eckart potential with the centrifugal term

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