DIRECT DERIVATION OF SCHRODINGER EQUATION FROM HAMILTON-JACOBI EQUATION USING UNCERTAINTY PRINCIPLE

In deriving Schrodinger's wave equation the momentum and energy of a particle are taken to be operators acting on a wave function. Here we show that the wave equation can be directly derived from the classical Hamilton-Jacobi equation, if a basic uncertainty is assumed to be present in the momentum. In this derivation one does not have to assume the momentum and energy to be operators.