Analytical approximations to the solutions of the Manning–Rosen potential with centrifugal term
- 作者：Wen-Chao Qiang ; Shi-Hai Dong
- 关键词：Bound states ; Manning– ; Rosen potential ; Arbitrary l state
- 刊名：Physics Letters A
- 出版年：2007
- 期刊代码：57_03759601
- 类别：ph
- 出版时间：13 August 2007
- 卷：368
- 期：1-2
- 页码：13-17
- 文件大小：120 K
摘要
The bound state solutions of the Manning–Rosen potential with the centrifugal term are presented approximately. It is shown that the solutions can be expressed by the generalized hypergeometric functions ob=MathURL&_method=retrieve&_udi=B6TVM-4NC38P1-C&_mathId=mml4&_user=10&_cdi=5538&_rdoc=4&_acct=C000050221&_version=1&_userid=10&md5=63e3ae253eb622f49abd795d6edf243f">
p://www.sciencedirect.com/cache/MiamiImageURL/B6TVM-4NC38P1-C-2/0?wchp=dGLzVzz-zSkWb" alt="Click to view the MathML source" align="absbottom" border="0" height=14 width=92>. The intractable normalized wavefunctions are derived. To show the accuracy of our results, we calculate the eigenvalues numerically for arbitrary quantum numbers n and l with two different values of the parameter α. It is found that the results are in good agreement with those obtained by other method for short potential range, small l and α. Two special cases for oration:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6TVM-4NC38P1-C&_mathId=mml5&_user=10&_cdi=5538&_rdoc=4&_acct=C000050221&_version=1&_userid=10&md5=23ddd639b8abd838f369ef8547bad74c" title="Click to view the MathML source">l=0 and the Hulthén potential are also studied briefly.