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ARBITRARY l-WAVE SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE HULTHÉN POTENTIAL MODEL

State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, P.R. China

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YONG-FENG DIAO

Department of Teaching Affairs, China West Normal University, Nanchong 637002, P.R. China

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LIANG-ZHONG YI

School of Mathematics and Computer Science, Xihua University, Chengdu 610039, P.R. China

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, and

TAO CHEN

Life and Physical Science College, Sichuan Agricultural University, Yaan 625014, Sichuan, P.R. China

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https://doi.org/10.1142/S0217751X09045510Cited by:23 (Source: Crossref)

Abstract

By using an improved new approximation scheme to deal with the centrifugal term, we investigate the bound state solutions of the Schrödinger equation with the Hulthén potential for the arbitrary angular momentum number. The bound state energy spectra and the unnormalized radial wave functions have been approximately obtained by using the supersymmetric shape invariance approach and the function analysis method. The numerical experiments show that our approximate analytical results are in better agreement with those obtained by using numerical integration approach for small values of the screening parameter δ than the other analytical results obtained by using the conventional approximation to the centrifugal term.

Keywords:

PACS: 03.65.Ge, 34.20.Cf

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