Scattering states of modified Pöschlben–Teller potential in D-dimension

doi:10.1088/1674-1056/21/3/030302

Abstract We present a new approximation scheme for the centrifugal term, and apply this new approach to the Schr?dinger equation with the modified P?schl-Teller potential in the D-dimension for arbitrary angular momentum states. The approximate analytical solutions of the scattering states are derived. The normalized wave functions expressed in terms of the hypergeometric functions of the scattering states on the $k/2\pi$ scale and the calculation formula of the phase shifts are given. The numerical results show that our results are in good agreement with those obtained by using the amplitude-phase method (APM).

Keywords: modified P?schl-Teller potential in D-dimension Schr?dinger equation scattering states

Received: 29 May 2011
Revised: 22 October 2011
Accepted manuscript online:

PACS:	03.65.Nk	(Scattering theory)
	03.65.Db	(Functional analytical methods)

Fund: Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2010291).

Corresponding Authors: Chen Chang-Yuan,yctcccy@163.net
E-mail: yctcccy@163.net

Cite this article:

Chen Chang-Yuan(陈昌远), Lu Fa-Lin(陆法林), and You Yuan(尤源) Scattering states of modified Pöschlben–Teller potential in D-dimension 2012 Chin. Phys. B 21 030302

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