[tex]e^{\alpha\frac{d}{dx}}=1+\alpha\frac{d}{dx}+\frac{\alpha^2}{2!}\frac{d^2}{dx^2}+...=\sum^{\infty}_{n=0}\frac{\alpha^n}{n!}\frac{d^n}{dx^n}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

Why this is translational operator?

##e^{\alpha\frac{d}{dx}}f(x)=f(x+\alpha)##

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# Translation operator

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