When I get back home I am considering doing a 3d simulation in Unreal Engine of how hydrogen atoms (the simplest possible) really behave according to QM and maybe some more complicated atoms too using Visscher's method. It's kind of surprising how it behaves, the mean position of the electron is actually sort of what you'd expect from classical mechanics (ie a nice, planet-like orbit, although not all orbits are permitted). However, the most likely distance the electron occupies is NOT the mean distance, it is smaller than that. In fact, the probability of finding the electron somewhere close to the nucleus is much denser than finding it far from it (at least for the ground state), but it cancels out because the electron can be found much further from the nucleus than what is usually considered the radius of the atom. Usually the radius is the hydrogen atom is considered the Bohr radius, which is the most likely distance the electron can be found to have, but the mean distance of the electron is actually 50% larger than the Bohr radius, and the probability that the electron is found somewhere within the Bohr radius is only around 35%.