It is shown that Schr�¨odingerâ��s equation may be derived from three postulates. The first is a kind of statistical metamorphosis of\r\nclassical mechanics, a set of two relations which are obtained from the canonical equations of particle mechanics by replacing all\r\nobservables by statistical averages. The second is a local conservation law of probability with a probability current which takes the\r\nform of a gradient. The third is a principle of maximal disorder as realized by the requirement of minimal Fisher information.\r\nThe rule for calculating expectation values is obtained from a fourth postulate, the requirement of energy conservation in the\r\nmean. The fact that all these basic relations of quantum theory may be derived from premises which are statistical in character is\r\ninterpreted as a strong argument in favor of the statistical interpretation of quantum mechanics. The structures of quantum theory\r\nand classical statistical theories are compared, and some fundamental differences are identified.
Loading....