Solutions of the Schrödinger equation given by solutions of the Hamilton--Jacobi equation

G. F. Torres del Castillo, C. Sosa-Sánchez

Published 2016-05-12Version 1

We find the form of the potential depending on the coordinates and the time such that a solution, $S$, of the Hamilton--Jacobi equation yields an exact solution, $\exp ({\rm i} S/\hbar)$, of the corresponding Schr\"odinger equation.