The Microscopic Amp\`ere formulation for the electromagnetic force density in linear dielectrics

We present a detailed derivation of the electromagnetic force density and pressure in linear dielectric media according to the so-called Microscopic Amp\`ere formulation, which considers the classical dipolar sources in matter along with the hidden momentum contribution. It is seen that, among the other formulations existing in the literature, our proposal is the only one simultaneously compatible with the experimental works reported to date and with the absence of magnetic monopoles in nature. A new radiation pressure equation for non-magnetic dielectrics under oblique illumination from p-polarized beams is also derived.