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IMPROVED ARBITRARY l-STATE SOLUTIONS OF THE HULTHÉN POTENTIAL

WEN-CHAO QIANG

Faculty of Science, Xi'an University of Architecture and Technology, Xi'an, 710055, P. R. China

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WEN LI CHEN

Faculty of Science, Xi'an University of Architecture and Technology, Xi'an, 710055, P. R. China

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KAI LI

Faculty of Science, Xi'an University of Architecture and Technology, Xi'an, 710055, P. R. China

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, and

HUA-PING ZHANG

Faculty of Science, Xi'an University of Architecture and Technology, Xi'an, 710055, P. R. China

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https://doi.org/10.1142/S0217751X09046370Cited by:18 (Source: Crossref)

Abstract

We developed a new and simple approximation scheme for centrifugal term. Using the new approximate formula for 1/r² we derived approximately analytical solutions to the radial Schrödinger equation of the Hulthén potential with arbitrary l-states. Normalized analytical wave-functions are also obtained. Some energy eigenvalues are numerically calculated and compared with those obtained by C. S. Jia et al. and other methods such as the asymptotic iteration, the supersymmetry, the numerical integration methods and a Mathematica program, schroedinger, by W. Lucha and F. F. Schöberl.

Keywords:

PACS: 03.65.Ge, 34.20.Cf, 34.20.Gj

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