2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/91578In this paper, we introduce a deterministic approach of quantum mechanics for particles with spin 1 2 moving in one dimension. We present a Lagrangian of a spinning particle ($s ={1 \over 2} $), and deduce the expression of the conjugate momentum related to the velocity of the particle.Latex, 6 pages, no figureQuantum PhysicsHigh Energy Physics - TheoryThe Relativistic Quantum Law of motion for a Particle with Spin 1/2text