A closer look at the uncertainty relation of position and momentum

Details A closer look at the uncertainty relation of position and momentum A closer look at the uncertainty relation of position and momentum

2008-11-16

arxiv.org/abs/0811.2582v4

Foundations of Physics, Vol. 39 (2009), p. 958-963

Physics

Quantum Physics

3 pages, introduction shortened, content unchanged

Scientific paper

10.1007/s10701-009-9310-0

We consider particles prepared by the von Neumann-L\"uders 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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