Objective uncertainty relation with classical background in a statistical model
arXiv:1208.5733 · doi:10.1016/j.physa.2012.08.012
Abstract
We show within a statistical model of quantization reported in the previous work based on Hamilton-Jacobi theory with a random constraint that the statistics of fluctuations of the actual trajectories around the classical trajectories in velocity and position spaces satisfy a reciprocal uncertainty relation. The relation is objective (observation independent) and implies the standard quantum mechanical uncertainty relation.
11 pages (accepted for publication in Physica A)