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

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∫rBrAk(r)dr-∫r0Br0Ak0(r)dr=nπ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 Schrtidinger equation of Manning - Reson potential with centrifuge term is investigated using the proper quantization rule approach for any states. Seting the proper quantization rule f X0 x）dx = nπ and a new approximate, the energy spectra of Manning - Rosen potential can be determined from its ground state energy only. Finally, two special eases for l = 0 and a= 0 or 1 are discussed briefly.