# What notation would mathematicians use ?

How would a mathematician write this:

$$\hat{1} = \int dx |x\rangle \langle x| ?$$

dextercioby
Homework Helper
This one,i guess

$$\hat{1}=\int dx \ \hat{P}_{x}$$

,where the projector acts on a rigged Hilbert space.

Daniel.

What's a rigged Hilbert space dex?

dextercioby
$$\Omega\subset\mathcal{H}\cong \tilde{\mathcal{H}}\subset \tilde{\Omega}$$