We show however that the Schrodinger equation can only be obtained in that manner for linear or quadratic potential ...
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 ... [Show full abstract] functions. Comment: 3 pages, no figures