2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56832We show that, for a class of systems described by a Lagrangian L(x,\dot{x},t) = 1/2\dot{x}^{2} - V(x,t) the propagator can be reduced via Noether's Theorem to a standard path integral multiplied by a phase factor. Using Henstock's integration technique, this path integral is given a firm mathematical basis. Finally, we recast the propagator as an evolutionary semigroup.23 pagesMathematical PhysicsFunctional Analysistext