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

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

2011-04-02

arxiv.org/abs/1104.0302v2

Phys. Scr. 83 (2011) 025002 (7pp)

Physics

Quantum Physics

15 pages. arXiv admin note: substantial text overlap with arXiv:1009.5083

Scientific paper

10.1088/0031-8949/83/02/025002

The bound state energies and wave functions for a particle exposed to the Hulth\'en 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 Hulth\'en 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: Hulth\'en potential, improved quantization rule, approximation schemes. 03.65.Ge, 12.39.Jh

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