A closer look at the uncertainty relation of position and momentum
Quantum Physics
2010-06-29 v4
Abstract
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.
Keywords
Cite
@article{arxiv.0811.2582,
title = {A closer look at the uncertainty relation of position and momentum},
author = {Thomas Schürmann and Ingo Hoffmann},
journal= {arXiv preprint arXiv:0811.2582},
year = {2010}
}
Comments
3 pages, introduction shortened, content unchanged