# Compatibility between classical Newtonian gravitation and quantum mechanics

As I understand, we do not have yet a unified theory covering at once both general relativity and quantum mechanics. However, do we have a theoretical framework completely covering both classical Newtonian gravitation (i.e. without space-time curvature or for not so massive gravitational sources) and quantum mechanics? Is there any reference on this question?

Since an expansion in $v/c$ or the curvature is possible, one should be able to incorporate even weakly relativistic effects, e.g., the $1/r^3$ correction to the potential that accounts for the anomalous precession of the perihelion of Mercury. This is analogous to the spin-orbit, Thomas precession, and "mass shift" correction terms -- all relativistic of order $v^2/c^2$ that account for the fine structure of the hydrogen atom.