Why an electron never falls into a nucleus?

[pergradus]

So, I know from having taken some QM that solving the Schrödinger equation for an electron with a central potential gives you the probability distribution for the electron, and the different energy levels correspond to different atomic orbitals.

That's fine from a mathematical perspective, but thinking in physical terms the electron still feels a strong attraction to the nucleus, yet it just buzzes around and never falls in - is there some way to explain why this is in physical terms?

 

[Dickfore]

Sometimes it does. See electron capture from Nuclear Physics.

 

[dextercioby]

There are numerous threads on this very issue around here. No need to open a new one. I think there's also a chapter in the Q&A section. Please, read them and tell us what you haven't understood.