Abstract:
Using the example of a particle in a one-dimensional configuration space (OCS), it is shown that knowledge of the wave function implies not only statistical restrictions on the results of measurements. In particular, in addition to the probability (density) field in the OCS, the wave function also assumes the existence of two fields that predict two (equiprobable) values of the particle momentum for each point of the OCS: the average value of these two momentum fields at each point is related only to the phase of the wave function, and their difference (coinciding with Bohm's "quantum-mechanical potential") is related only to the amplitude of the wave function. For both fields, an analogue of the Heisenberg uncertainty relation is obtained. For any unit wave function, streamlines in the OCS cannot be interpreted as particle trajectories.