量子力学中的三个问题

Three Issues of The Quantum Mechanics

本文讨论了定态波函数的一阶导数在势能存在无穷大时是不连续的、本征值连续的本征函数的δ函数归一化和波函数在无穷远处为零条件的引入等三个问题。前两个问题一般文献未作详细论证,第三个问题一般文献的处理是不合理的。

The paper discusses three issues, the first order derivative of wave function is not continuous if potential has a infinite observable, and the 5 function normalization of the eigenfunction with continuous eigenvalue, and the introduction of the zero value condition of the wave function. The first two issues are not detailed demonstrated and the third not rationally treated in current literature.