Quantization Rule Solution to the Hulthén Potential in Arbitrary Dimension with a New Approximate Scheme for the Centrifugal Term

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Journal Title, Volume, Page: 
Phys. Scr. 83, 025002 (7pp)
Year of Publication: 
2011
Authors: 
Sameer M. Ikhdair
Physics Department, Near East University, Nicosia, North Cyprus, Turkey
Current Affiliation: 
Department of Physics, An-Najah National University, Nablus, Palestine
Jamal Abu-Hasna
EEE Department, Near East University, Nicosia, North Cyprus, Turkey
Preferred Abstract (Original): 

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 we have 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.