arXiv:1008.4877 · Journal of Statistical Mechanics Theory and Experiment

On the use of minimum volume ellipsoids and symplectic capacities for studying classical uncertainties for joint position–momentum measurements

Maurice A de Gosson

Published Nov 2, 2010• 8 citations

Abstract

We study the minimum volume ellipsoid estimator associated with a cloud of points in phase space. Using as a natural measure of uncertainty the symplectic capacity of the covariance ellipsoid we find that classical uncertainties obey relations similar to those found in non-standard quantum mechanics.

DOI: 10.1088/1742-5468/2010/11/p11005

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