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A Note on Different Definitions of Momentum Disturbance

2013/07/13 by Lee A. Rozema, Dylan H. Mahler, Rozema, Lee A. +5 · 1 citation
Decision Sciences · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Quantum Physics (quant-ph) #Scientific Measurement and Uncertainty Evaluation #quant-ph

paper · pdf · doi:10.48550/arxiv.1307.3604

arxiv created 2013/07/13 · openalex publication_date 2013/07/13 · arxiv updated 2013/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In [1], Busch et al. showed that it is possible to construct an error-disturbance relation having the same form as Heisenberg's original heuristic definition[2], in contrast to the theory proposed by Ozawa[3] which we and others recently confirmed experimentally[4,5]. With Ozawa's definitions of measurement error and disturbance, a relation of Heisenberg's form is not in general valid, and a new error-disturbance relationship can be derived. Here we explain the different physical significance of the two definitions, and suggest that Ozawa's definition better corresponds to the usual understanding of the disturbance that Heisenberg discussed.

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