“…He was motived by the problem of finding a way to improve the quantum statistical mechanics, based on the desity matrix, to treat the transport equations for superfluids [2][3][4]. Since then, the formalism proposed by Wigner has been applied in different contexts, such as quantum optics [5,6], condensed matter [7][8][9], quantum computing [10][11][12], quantum tomography [13], plasma physics [14][15][16][17][18][19]. Wigner introduced his formalism by using a kind of Fourier transform of the density matrix, ρ(q, q ′ ), giving rise to what in nowadays called the Wigner function, f W (q, p), where (q, p) are coordinates of a phase space manifold (Γ).…”