Exact uncertainty relations: physical significance

Abstract

The Heisenberg inequality ΔX ΔP \geq \hbar/2 can be replaced by an exact equality, for suitably chosen measures of position and momentum uncertainty, which is valid for all wavefunctions. The statistics of complementary observables are thus connected by an ``exact'' uncertainty relation.

Latex, 24 pages. This a substantially shortened version of quant-ph/0103072, with less technical detail and focusing on physical content

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