  We discuss an effective theory for the quantum static gravitational potential
in spherical symmetry up to the first post-Newtonian correction. We build a
suitable Lagrangian from the weak field limit of the Einstein-Hilbert action
coupled to pressureless matter. Classical solutions of the field equation lead
to the correct post-Newtonian expansion. Furthermore, we portray the Newtonian
results in a quantum framework by means of a coherent quantum state, which is
properly corrected to accomodate post-Newtonian corrections. These
considerations provide a link between the corpuscular model of Dvali and Gomez
and standard post-Newtonian gravity, laying the foundations for future
research.
