The last decades have witnessed an ever increasing number of articles in numerous physical areas of research dedicated to develop and apply the Weyl-Wigner formalism in connection with a variety of different physical systems. The possibility of deepening our understanding of the uncertainty principle and recuperating Classical Mechanics in the <IMG SRC="/img/fbpe/rbef/v24n4/a09img01.gif">-> 0 limit explains the increasing abundance of adepts of the phase-space description of Quantum Mechanics. In this favorable context, the present work aims at introducing a basic set of results that characterize the formalism at issue, allowing the reader to have access to the main ideas emanating from this fascinating theme.
