Objective uncertainty relation with classical background in a statistical model

Agung Budiyono

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 1, 43-47

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.

Keywords: Statistical model; Uncertainty relation; Quantum–classical correspondence (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:1:p:43-47

DOI: 10.1016/j.physa.2012.08.012

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