2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/211593We find out classical particles, starting from Dirac quantum fields on a curved space-time, by an eikonal approximation and a localization hypothesis for amplitudes. We recover the results by Mathisson-Papapetrou, hence establishing a fundamental correspondence between the coupling of classical and quantum spinning particles with the gravitational field.6 pages, 1 figure, accepted for publication in Europhysics LettersGeneral Relativity and Quantum Cosmologytext