2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104123A general connection between the characteristic function of a Lévy process and loss of coherence of the statistical operator describing the center of mass degrees of freedom of a quantum system interacting through momentum transfer events with an environment is established. The relationship with microphysical models and recent experiments is considered, focusing on the recently observed transition between a dynamics described by a compound Poisson process and a Gaussian process.10 pages, revtex, no figures, to appear in Phys. Rev. LettQuantum PhysicsMathematical Physicstext