Arbitrary l-wave scattering state solutions of the Schrodinger equation for the Eckart potential

被引：66
|
作者：
Wei, Gao-Feng [1 ,2 ]
Long, Chao-Yun [1 ,2 ]
Duan, Xiao-Yong [1 ,2 ]
Dong, Shi-Hai [3 ]
机构：
[1] Guizhou Univ, Lab Photoelect Technol & Applicat, Guiyang 550025, Peoples R China
[2] Guizhou Univ, Coll Sci, Dept Phys, Guiyang 550025, Peoples R China
[3] IPN, Escuela Super Fis & Matemat, Dept Fis, Mexico City 07738, DF, Mexico
来源：
PHYSICA SCRIPTA | 2008年 / 77卷 / 03期
关键词：
D O I：
10.1088/0031-8949/77/03/035001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The approximately analytical scattering state solutions of the l-wave Schrodinger equation for the Eckart potential are carried out by a proper approximation to the centrifugal term. The normalized radial wavefunctions of l-wave scattering states on the 'k/2 pi scale' are presented and the calculation formula of phase shifts is derived. It is interesting to find that the energy levels of the continuum states reduce to those of the bound states at the poles of the scattering amplitude. We consider and verify two special cases: the l = 0 and the s-wave Hulthen potential.
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页数：5
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