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-  2016 

具有Manning-Rosen势的Schr?dinger方程的任意l波束缚态解析解
Analytical solution to the arbitrary l-wave bound state of the Schr?dinger equation for the Manning-Rosen potential

Keywords: Manning-Rosen势 完全量子化规则 束缚态 解析解
Manning-Rosen potential proper quantization rule bound states analytical solution

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Abstract:

使用完全量子化规则计算了具有离心项的Manning-Rosen势,根据动量积分 (其中 )和一种新的近似化条件,得到了系统的任意l波Schr?dinger方程的解析解和能谱方程。最后简单讨论了l=0和α=0或1束缚态能谱的有关性质。
The Schr?dinger equation of Manning-Reson potential with centrifuge term is investigated using the proper quantization rule approach for any states. Seting the proper quantization rule and a new approximate, the energy spectra of Manning-Rosen potential can be determined from its ground state energy only. Finally, two special cases for l=0 and α=0 or 1 are discussed briefly.

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