2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57235Within the framework of Weyl calculus we establish a quantum-classical correspondence for the time evolution of observables generated by a Dirac-Hamiltonian. This includes a semiclassical separation of particles and antiparticles. We then prove quantum ergodicity for Dirac-Hamiltonians under the condition that a skew product of the classical relativistic translational motion and relativistic spin precession is ergodic.Contribution to the conference Theoretical Physics 2002, Paris, 22-27 July 2002Mathematical PhysicsChaotic DynamicsSemiclassical time evolution and quantum ergodicity for Dirac-Hamiltonianstext