08-18-2016, 06:28 PM

I'm looking at Bohm (1952). On page 171 he outlines 3 ad hoc assumptions which are needed to guarantee equivalence with quantum mechanics. (3) says that the probability density of position is given by the usual square of the magnitude of the wave function. It then says that this is due to not knowing the initial conditions of the particle. I do not understand why the initial conditions of the particle are unknown. This seems like another assumption 3b. Furthermore, if the wavefunction is a position eigenstate which always occurs after a position measurement, then P(x) is 1 at a specific location and 0 everywhere else so that the precise location of the position is well defined which undermines the reasoning of (3).