/sci/ - Science & Math

I skimmed through a textbook on particle physics, especially the chapter on bound states, like atoms. There's one thing I didn't quite get, though.

If the potential around a nucleus is spherically symmetrical (the Coulomb potential), then how come atomic orbitals aren't? Is it because of spin? (On other hand doesn't spin just lead to splitting energy levels?)

Pic related it's some orbitals.