Heisenberg’s Uncertainty Principle

\em Phys. Rep 43:155-176 (2007)
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Abstract

Heisenberg's uncertainty principle is usually taken to express a limitation of operational possibilities imposed by quantum mechanics. Here we demonstrate that the full content of this principle also includes its positive role as a condition ensuring that mutually exclusive experimental options can be reconciled if an appropriate trade-off is accepted. The uncertainty principle is shown to appear in three manifestations, in the form of uncertainty relations: for the widths of the position and momentum distributions in any quantum state; for the inaccuracies of any joint measurement of these quantities; and for the inaccuracy of a measurement of one of the quantities and the ensuing disturbance in the distribution of the other quantity. Whilst conceptually distinct, these three kinds of uncertainty relations are shown to be closely related formally. Finally, we survey models and experimental implementations of joint measurements of position and momentum and comment briefly on the status of experimental tests of the uncertainty principle.

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Citations of this work

On Time in Quantum Physics.Jeremy Butterfield - 2013 - In Heather Dyke & Adrian Bardon (eds.), A Companion to the Philosophy of Time. Chichester, UK: Wiley. pp. 220–241.
Unsharp Quantum Reality.Paul Busch & Gregg Jaeger - 2010 - Foundations of Physics 40 (9-10):1341-1367.
On the tension between ontology and epistemology in quantum probabilities.Amit Hagar - 2017 - In Olimpia Lombardi, Sebastian Fortin, Federico Holik & Cristian López (eds.), What is Quantum Information? New York, NY: CUP. pp. 147-178.

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References found in this work

The philosophy of quantum mechanics.Max Jammer - 1974 - New York,: Wiley. Edited by Max Jammer.
The Physical Principles of the Quantum Theory: Transl. Into Engl. By Carl Eckart and Frank C. Hoyt.Werner Heisenberg - 1930 - Chicago: Ill., The University of Chicago Press. Edited by Carl Eckart & Frank Clark Hoyt.

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