截断库仑势的再认识
The truncated Coulomb potential revisited
摘要：
本文将Frobenius方法应用于截断库仑势的薛定谔方程。利用展开系数的树项递推关系，我们截断级数，得到精确的本征函数和本征值。从一个明智的安排，确切的特征值，我们得到有用的信息，整个频谱的问题，并可以获得其他特征值简单而直接的插值。
英文摘要：
We apply the Frobenius method to the Schrödinger equation with a truncated Coulomb potential. By means of the tree-term recurrence relation for the expansion coefficients we truncate the series and obtain exact eigenfunctions and eigenvalues. From a judicious arrangement of the exact eigenvalues we derive useful information about the whole spectrum of the problem and can obtain other eigenvalues by simple and straightforward interpolation.
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。
