具有δ函数势的Schrdinger方程的解和广义函数的乘积

Solution of the Schrodinger Equation With δ-Function Potential and Product of Distributions

本文证明广义函数的乘积ε(x)δ(x)sinkx=0。利用这个结果我们证明ψ=(1-(c/2)ε(x))sinkx是schrodinger方程-(d^2/dx^2)ψ+cδ(x)ψ=Eψ的解。

This paper proves that the product of distributions ε(x)δ(x)sinkx=0. It is then concluded that ψ=(1-(c/2)ε(x)) sinkx is the solution to the Schrodinger equation -(d^2/dx^2)ψ+cδ(x)ψ=Eψ.