摘要
本文建议一个求解量子系统束缚态能量本征值的新方法。通过一个积分变换,Schr(?)dinger方程可转变为非线性的Riccati方程,求解它相当于对位势作带参数(能量)的反Miura变换。借助于节点定理我们可以绕过特殊函数而迅捷得到全部能级,从而使量子能谱的求解过程大为简化。
A new method of finding the energy level of quantum bound states is proposed. By an integral transformation the Schrodinger equation is changed to Riccati equation. Solving this equation is equivalent to making a parametrized inverse Miura transformation to potential. This can be done easily with the help of node theorem.
