Analytical Arbitrary-Wave Solutions of the Deformed Hyperbolic Eckart Potential by the Nikiforov–Uvarov Method  

作　　者：ZHANG Min-Cang 张民仓(Zhi-Zhi Literature Information Resources Center,Shaanxi Normal University,Xi'an 710062)

机构地区：[1]Zhi-Zhi Literature Information Resources Center,Shaanxi Normal University,Xi'an 710062

出　　处：《Chinese Physics Letters》2013年第11期10-13,共4页中国物理快报（英文版）

基　　金：Corresponding author:张民仓,Email:[e-mail]。

摘　　要：The arbitrary l-wave solutions to the Schrödinger equation for the deformed hyperbolic Eckart potential is investigated analytically by using the Nikiforov–Uvarov method.The centrifugal term is treated with the improved Greene and Aldrich approximation scheme.The wave functions are expressed in terms of the Jacobi polynomial or the hypergeometric function.The discrete spectrum is obtained and it is shown that the deformed hyperbolic Eckart potential is a shape-invariant potential and the bound state energy is independent of the deformation parameter q.

关 键 词：FUNCTION METHOD HYPERBOLIC 

分 类 号：O17[理学—数学]