用函数(sinαx)/(πx)的极限表示Dirac δ(x)函数及其一个应用

Representation of Diracδ(x)Function Using Limit of Function (sinαx)/(πx )for the Variable x and on Example of Application

证明了x的函数sinαxπx 的极限limα→∞sinαxπx 可以表示Diracδ(x)函数 ,并用它将动量本征函数进行了δ(x)

The theorem which means that the  Dirac δ(x) function can be represented to the  limit lim α→∞ sin αx π x of the function  sin αx π x for the variable x is demonstrated.According to the theorem,the momentum intrinsic function is normalized to the δ(x) function.