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arXiv 2008-11-16 DOI 10.1007/s10701-009-9310-0 0 views

A closer look at the uncertainty relation of position and momentum

Schürmann, Thomas · Hoffmann, Ingo

Original · EN

We consider particles prepared by the von Neumann-Lüders projection. For those particles the standard deviation of the momentum is discussed. We show that infinite standard deviations are not exceptions but rather typical. A necessary and sufficient condition for finite standard deviations is given. Finally, a new uncertainty relation is derived and it is shown that the latter cannot be improved.

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