# How does the displacement operator act on number states $|n\rangle$?

The displacement operator generates the coherent state out of the vacuum.

$$\hat D(\alpha)|0\rangle = |\alpha\rangle$$

but I am wondering what the meaning of a displacement operator acting upon a number state with $$n \neq 0$$ is.

For example, is $$\hat D(\alpha)|1\rangle$$ meaningful?

I have not been able to find any mention of this online.