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25 April 2024
 
  » arxiv » 1211.4169

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On Uncertainties in Successive Measurements
Jacques Distler ; Sonia Paban ;
Date 17 Nov 2012
AbstractWhen you measure an observable, A, in Quantum Mechanics, the state of the system changes. This, in turn, affects the quantum-mechanical uncertainty in some non-commuting observable, B. The standard Uncertainty Relation puts a lower bound on the uncertainty of B in the initial state. What is relevant for a subsequent measurement of B, however, is the uncertainty of B in the post-measurement state. We make some remarks on the latter problem, both in the case where A has a pure point spectrum and in the case where A has a continuous spectrum.
Source arXiv, 1211.4169
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