The scattering states of the generalized Hulthén potential with an improved new approximate scheme to the centrifugal term

doi:10.1088/1674-1056/18/9/010

中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3663-3669.doi: 10.1088/1674-1056/18/9/010

The scattering states of the generalized Hulthén potential with an improved new approximate scheme to the centrifugal term

卫高峰¹, 王红英¹, 李院院¹, 陈文利²

(1)Department of Physics, Xi'an University of Arts and Science, Xi'an 710065, China; (2)Faculty of Science, Xi'an University of Architecture and Technology, Xi'an 710055, China

收稿日期:2008-09-25 修回日期:2008-11-11 出版日期:2009-09-20 发布日期:2009-09-20

The scattering states of the generalized Hulthén potential with an improved new approximate scheme to the centrifugal term

Wei Gao-Feng(卫高峰)^a)†, Chen Wen-Li(陈文利)^b)‡, Wang Hong-Ying(王红英)^a)\S, and Li Yuan-Yuan(李院院)^a)\P

^a Department of Physics, Xi'an University of Arts and Science, Xi'an 710065, China; ^b Faculty of Science, Xi'an University of Architecture and Technology, Xi'an 710055, China

Received:2008-09-25 Revised:2008-11-11 Online:2009-09-20 Published:2009-09-20

摘要/Abstract

摘要： This paper finds the approximate analytical scattering state solutions of the arbitrary l-wave Schr?dinger equation for the generalized Hulthén potential by taking an improved new approximate scheme for the centrifugal term. The normalized analytical radial wave functions of the l-wave Schr?dinger equation for the generalized Hulthén potential are presented and the corresponding calculation formula of phase shifts is derived. Some useful figures are plotted to show the improved accuracy of the obtained results and two special cases for the standard Hulthén potential and Woods--Saxon potential are also studied briefly.

Abstract: This paper finds the approximate analytical scattering state solutions of the arbitrary l-wave Schr?dinger equation for the generalized Hulthén potential by taking an improved new approximate scheme for the centrifugal term. The normalized analytical radial wave functions of the l-wave Schr?dinger equation for the generalized Hulthén potential are presented and the corresponding calculation formula of phase shifts is derived. Some useful figures are plotted to show the improved accuracy of the obtained results and two special cases for the standard Hulthén potential and Woods--Saxon potential are also studied briefly.

Key words: generalized Hulthén potential, scattering states, approximate analytical solutions

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

03.65.Nk (Scattering theory)

卫高峰, 陈文利, 王红英, 李院院. The scattering states of the generalized Hulthén potential with an improved new approximate scheme to the centrifugal term[J]. 中国物理B, 2009, 18(9): 3663-3669.

Wei Gao-Feng(卫高峰), Chen Wen-Li(陈文利), Wang Hong-Ying(王红英), and Li Yuan-Yuan(李院院). The scattering states of the generalized Hulthén potential with an improved new approximate scheme to the centrifugal term[J]. Chin. Phys. B, 2009, 18(9): 3663-3669.

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The scattering states of the generalized Hulthén potential with an improved new approximate scheme to the centrifugal term

The scattering states of the generalized Hulthén potential with an improved new approximate scheme to the centrifugal term

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