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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access March 26, 2008

Arbitrary /-state approximate solutions of the Hulthén potential through the exact quantization rule

  • Wen-Chao Qiang EMAIL logo , Yang Gao and Run-Suo Zhou
From the journal Open Physics

Abstract

In this paper, using the Exact Quantization Rule, we present approximate analytical solutions of the radial Schrödinger equation with non-zero l values for the Hulthén potential in the frame of an approximation to the centrifugal potential for any l states. The energy levels of all bound states can be easily calculated from the Exact Quantization Rule. Specifically, the normalized analytical wave functions are also obtained. Some energy eigenvalues are numerically calculated and compared with those obtained by other methods such as asymptotic iteration, supersymmetry, numerical integration methods, and the schroedinger Mathematica package.

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Published Online: 2008-3-26
Published in Print: 2008-6-1

© 2008 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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