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29 March 2024
 
  » arxiv » quant-ph/0201084

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Quantum mechanics from a Heisenberg-type equality
Michael J. W. Hall ; Marcel Reginatto ;
Date 19 Dec 2001
Journal Fortschritte der Physik 50 (2002) 646-651
Subject quant-ph
AbstractThe usual Heisenberg uncertainty relation for position and momentum may be replaced by an exact equality, for suitably chosen measures of position and momentum uncertainty. This "exact" uncertainty relation is valid for_all_ pure states, and is sufficiently strong to provide an axiomatic basis for moving from classical mechanics to quantum mechanics. In particular, the assumption of a nonclassical momentum fluctuation, having a strength which scales inversely with uncertainty in position, leads from the classical equations of motion to the Schroedinger equation.
Source arXiv, quant-ph/0201084
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