Chinese Physics Letters

Approximate Solutions of the Schrödinger Equation for the Eckart Potential and Its Parity-Time-Symmetric Version Including Centrifugal Term

Aiping Zhang, Qiang Wen-Chao, Ling Ya-wen

Published Sep 29, 2009• 12 citations

Abstract

The energy eigenvalues and eigenfunctions of the Schrödinger equation for Eckart potential as well as the parity-time-symmetric version of the potential in three dimensions with the centrifugal term are investigated approximately by using the Nikiforov–Uvarov method. To show the accuracy of our results, we calculate the energy eigenvalues for various values of n and l. It is found that the results are in good agreement with the numerical solutions for short-range potential (large a). For the case of 1/a  i/a, the potential is also studied briefly.

DOI: 10.1088/0256-307x/26/10/100302

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