Heisenberg's uncertainty relation of position and momentum in experiments without mutual disturbance |
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Authors: | T Koch J Scheer H Ziggel M Schmidt |
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Institution: | (1) Department of Physics, University of Bremen, D-28 Bremen 33, Germany;(2) Department of Physics, University of Bari, 17012 Bari, Italy |
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Abstract: | Arranging target atoms in a plane monolayer, one may produce by atomic or nuclear reaction an ensemble of particles with small initial position spread without disturbing their momentum spread. This would either allow a violation of Heisenberg's uncertainty relation, by creating a situation not described by quantum mechanics hence rendering quantum mechanics incomplete, or, if the uncertainty relation should hold also in this non-disturbative situation, it would mean a permanent violation of energy conservation. Thus an uncertainty relation for position and momentum and energy conservation appear to be mutually exclusive.1. Recently also Croca 5] proposed another way of determining a x without interfering with pX.2. To forbid even speaking of an initial position spread smaller than that indicated by the wave function 6] would amount to circular reasoning and the denial of a falsification of quantum mechanics. |
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Keywords: | quantum theory fundamentals uncertainty relation violations |
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