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

2016/05/12 by del Castillo, G. F. Torres, Sosa-Sánchez, C.
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1605.04277

Abstract

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/ℏ), of the corresponding Schrödinger equation.

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