2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/196300In this paper, we propose a new approach to the relativistic quantum mechanics for many-body, which is a self-consistent system constructed by juxtaposed but mutually coupled nonlinear Dirac's equations. The classical approximation of this approach provides the exact Newtonian dynamics for many-body, and the nonrelativistic approximation gives the complete Schrödinger equation for many-body.13 pages, no figureHigh Energy Physics - TheoryQuantum Physicstext