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Arbitrary /-state approximate solutions of the Hulthén potential through the exact quantization rule.

Authors :
Qiang, Wen-Chao
Gao, Yang
Zhou, Run-Suo
Source :
Central European Journal of Physics; Jun2008, Vol. 6 Issue 2, p356-362, 7p
Publication Year :
2008

Abstract

In this paper, using the Exact Quantization Rule, we present approximate analytical solutions of the radial Schrödinger equation with non-zero l values for the Hulthén potential in the frame of an approximation to the centrifugal potential for any l states. The energy levels of all bound states can be easily calculated from the Exact Quantization Rule. Specifically, the normalized analytical wave functions are also obtained. Some energy eigenvalues are numerically calculated and compared with those obtained by other methods such as asymptotic iteration, supersymmetry, numerical integration methods, and the schroedinger Mathematica package. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
18951082
Volume :
6
Issue :
2
Database :
Complementary Index
Journal :
Central European Journal of Physics
Publication Type :
Academic Journal
Accession number :
49776938
Full Text :
https://doi.org/10.2478/s11534-008-0041-1