On the Use of Minimum Volume Ellipsoids and Symplectic Capacities for Studying Classical Uncertainties for Joint Position-Momentum Measurements

Details On the Use of Minimum Volume Ellipsoids and Symplectic Capacities for Studying Classical Uncertainties for Joint Position-Momentum Measurements On the Use of Minimum Volume Ellipsoids and Symplectic Capacities for Studying Classical Uncertainties for Joint Position-Momentum Measurements

2010-08-28

arxiv.org/abs/1008.4877v1

Physics

Mathematical Physics

Scientific paper

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.

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