# Hydrogen wave function in momentum space

We can seperate the wave function of an hydrogen atom in a radial and an angle part: $$\phi_{n,l,m} (\mathbf{r}) = R_{n,l,m}(r) Y_{l,m}(\vartheta,\varphi) \, ,$$ where $Y_{l,m}$ are the spherical harmonics.
My question is: How does this look like in momentum space? Is the general form preserved? Do we get as well a radial and an angle dependent part?

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related: physics.stackexchange.com/questions/137796/… ; see Lombardi, Phys Rev A 22 (1980) 797, forum.sci.ccny.cuny.edu/Members/lombardi/publications/… –  Ben Crowell Nov 7 at 17:38

I am not convinced. The Fourier transform contains $\exp (- \mathrm{i} \mathbf{k} \cdot \mathbf{r})$ which mixes the integration of the angles and the radius. –  DaP May 2 '13 at 8:45