A closer look at the uncertainty relation of position and momentum
arXiv:0811.2582 · doi:10.1007/s10701-009-9310-0
Abstract
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.
arXiv comment3 pages, introduction shortened, content unchanged
References in corpus (4)
Cited by in corpus (16)
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