I'm actually studying that now, quantum mechanics. We've got explicit solutions to several models and we can use variational calculus to guess wave functions and energies for ones that can't be solved. So I'd say humans have a got a bit of a handle on it. It's not some crazy unknown anymore, hasn't been for quite a few years.
So kids, learn to solve your quadratic equations, do derivatives and integrate. Cause you can do cool shit with it.