2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50071We discuss here the possibility to write the Liouville-Vlasov equation for the Wigner-function of a spinor field coupled to a gauge field with field strength tensor $F^{μν}$ in a curved space-time versus a local Lorentz manifold (introduction of local Lorentz coordinates) with an appropriate definition of a covariant derivative carried out using a spin connection $B_μ^{ab}(x)$.11 pages, AMStexHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmologytext