"The underlying physical laws necessary for the mathematical theory of...
the whole chemistry are thus completely known, and the difficulty is
only that the exact application of these laws leads to equations much
too complicated to be soluble." ------------ Dirac, 1929
"Only a small part of the system needs to be treated with Quantum Mechanics, the rest can be described at a more approximate level of theory (Classical Mechanics)" ------------ QM/MM Philosophers, Last Millennium
For more details, please see some of my past work and references there in.