%0 Journal Article
%T On the Use of Minimum Volume Ellipsoids and Symplectic Capacities for Studying Classical Uncertainties for Joint Position-Momentum Measurements
%A Maurice de Gosson
%J Statistics
%D 2010
%I arXiv
%R 10.1088/1742-5468/2010/11/P11005
%X We study the minimum volume ellipsoid estimator associates to 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.
%U http://arxiv.org/abs/1008.4877v1