We will theoretically study the loss of quantum coherence from the scattering with
air molecules of a beam of fullerene molecules for the double slit experiment, with
the aim of analyzing the loss of purity (decoherence process). This work has
already been theoretically explored by L.S.Marinho, I.G. da Paz and collaborators,
however we will analyze the same system, under the same conditions, but with the
inclusion of the dissipation process (which is related to the appearance of thermal
relaxation due to the damping at the moment of the particle of the beam) through
a specific propagator in the aforementioned system, thus being able to try to
visualize some characteristic anomaly in the interference fringes as we change the
values for the coupling factor. We also analyzed the dynamics of visibilities in the
two configurations, comparing the validity regimes between the models. Such
knowledge led us to the theoretical analysis of the double slit experiment with
matter waves, however, with some peculiarities, since the focus is on open
quantum systems (OQS's).