标题： 一维克莱因-戈登方程与截断库仑势的解 显示英文标题

标题： Solutions to the 1d Klein-Gordon equation with cutoff Coulomb potentials

摘要： 在Barton最近的一篇论文中（J. Phys. A40, 1011 (2007)），对于非奇异的类库仑势V_1(|x|) = -\alpha /(|x|+a)，一维Klein-Gordon方程被解析求解。在本文中，这些结果通过数值公式完全得到确认，该公式还允许对另一种截断库仑势V_2(|x|) = -\alpha /|x|, ~|x| > a，否则V_2(|x|) = -\alpha /a进行求解。 显示英文摘要

摘要： In a recent paper by Barton (J. Phys. A40, 1011 (2007)), the 1-dimensional Klein-Gordon equation was solved analytically for the non-singular Coulomb-like potential V_1(|x|) = -\alpha/(|x|+a). In the present paper, these results are completely confirmed by a numerical formulation that also allows a solution for an alternative cutoff Coulomb potential V_2(|x|) = -\alpha/|x|, ~|x| > a, and otherwise V_2(|x|) = -\alpha/a.