广义Kratzer型势Schroedinger方程的群分析
Group analysis of Schroedinger equation with generalised Kratzer type potential
摘要：
利用$su(1,1)$谱生成代数的方法，分析了具有${C\over{x^2} + {D\over{x}}$形式势的一维Schroedinger方程，得到了一类具有相似特征值的势.通过对微分方程的群分析，发现当$C$和$D$取特定值时，对称性得到增强.李代数的生成元不闭。向量场的扩张产生了一个有趣的代数。
英文摘要：
Using the method of $su(1,1)$ spectrum generating algebra, we analyze one dimensional Schroedinger equation with potential in the form ${C\over{x^2} + {D\over{x}}$ to obtain a class of potentials giving similar eigenvalues. By a group analysis of the differential equation it is found that the symmetry gets enhanced for particular values of $C$ and $D$. The generators of the Lie algebra do not close. The extension of the vector field gives rise to an interesting algebra.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
