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arXiv · 1104.0302

Quantization rule solution to the Hulthén potential in arbitrary dimension by a new approximate scheme for the centrifugal term

Sameer M. Ikhdair
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Abstract

The bound state energies and wave functions for a particle exposed to the Hulthén potential field in the D-dimensional space are obtained within the improved quantization rule for any arbitrary l state. The present approximation scheme used to deal with the centrifugal term in the effective Hulthén potential is systematic and accurate. The solutions for the three-dimensional (D=3) case and the s-wave (l=0) case are briefly discussed. Keywords: Hulthén potential, improved quantization rule, approximation schemes. 03.65.Ge, 12.39.Jh

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Sameer M. Ikhdair. 2012-03-13. Quantization rule solution to the Hulthén potential in arbitrary dimension by a new approximate scheme for the centrifugal term. https://doi.org/10.1088/0031-8949%2F83%2F02%2F025002

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