Shishan Dong et al 2007 Phys. Scr. 76 393 doi:10.1088/0031-8949/76/4/019
Shishan Dong1, J. García-Ravelo2 and Shi-Hai Dong2
Show affiliationsThe bound-state solutions of the Schrödinger equation for an exponential-type potential with the centrifugal term are presented approximately. It is shown that the complicated normalization wavefunctions can be expressed by the generalized hypergeometric functions 2F1(a, b; c; z). To show the accuracy of our results, we calculate the energy eigenvalues numerically for arbitrary quantum numbers n and l with two different values of the parameter σ. It is found that the results are in good agreement with those obtained by another method for short-range potential. Two special cases for s-wave case (l=0) and σ=1 are also studied briefly.
Issue 4 (October 2007)
Received 3 August 2007, accepted for publication 14 August 2007
Published 18 September 2007
Shishan Dong et al 2007 Phys. Scr. 76 393
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