Jacques Distler, Sonia Paban
When 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.
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http://arxiv.org/abs/1211.4169
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