Admittedly, real biological molecules would be quite a bit more densely packed. Either that, or there’s an awful lot of spooky-action-at-a-distance going on inside cells.
After you’re done being amazed, you could do worse than check out the lecture notes for Scott Aaronson’s class, Quantum Computing Since Democritus. And when you’re done with those, here are some videos of Feynman lecturing on QED in New Zealand. (Thanks to Ed Copeland for reminding me of these.)