On the Reality of the Bohmian Potential

Abstract

The existence of the Bohmian quantum potential is investigated in terms of the energy relation of a quantum particle. The derivation process of the quantum potential is applied to the Helmholtz equation and it is shown that a similar term also occurs in this case. The possibility of the existence of a potential term is questioned according to the frequency and wave-number quantities of a wave which is the solution of the Helmholtz equation. By using the same approach, it is shown that the quantum potential should be equal to zero. Some examples are studied in terms of the wave function.