If nature follows the laws of quantum mechanics, why do we have a "classical" perception of it? This question, which has been considered since the early days of quantum theory, is well summarized in the so-called Mott problem: a particle is emitted inside a cloud chamber under the form of a wave function with perfect spherical symmetry, yet the particle produces in the camera a radial track, thus following a classical trajectory. Is it possible to explain such "classical localization" phenomenon within quantum mechanics itself? After Mott's seminal paper of 1929, the problem has been re-discovered and investigated in relatively recent years. In this presentation I will consider an oversimplified one-dimensional model, where the particle is represented by two counter-moving Gaussian packets and the chamber (the "environment") is represented by just two spinors in fixed positions. The aim is to follow the evolution of the Wigner function of the system so that one has a phase-space representation of the localization dynamics. Such a perspective provides a new way of looking at the phenomenon and helps in understanding its entanglement-related properties.