I found the answer I was looking for in Chemistry S.E.
As you can see it is not that impossible to have a picture of what you calculate.
http://chemistry.stackexchange.com/questions/51568/what-is-the-reason-why-protons-and-electrons-do-not-collide/51576#51576https://chemistry.stackexchange.com/questions/51568/what-is-the-reason-why-protons-and-electrons-do-not-collide/51576#51576