Comment on "Foundations of quantum mechanics: Connection with stochastic   processes"
  Recently, Olavo has proposed several derivations of the Schrodinger equation from different sets of hypothesis ("axiomatizations") [Phys. Rev. A 61, 052109 (2000)]. One of them is based on the infinitesimal inverse Weyl transform of a classically evolved phase space density. We show however that the Schrodinger equation can only be obtained in that manner for linear or quadratic potential functions. 
D. Alonso, J. G. Muga, and R. Sala Mayato