The uncertainty principle for operators determined by Lie groups
Differential Geometry
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
For unbounded operators A,B and C in general, with C closure of [A,B] does not lead to the uncertainty relation ||Au|| ||Bu|| >= |<C u,u> |/2. If A,B and C are part of the generators of a unitary representation of a Lie group then the uncertainty principle above holds.
Keywords
Cite
@article{arxiv.math/0301002,
title = {The uncertainty principle for operators determined by Lie groups},
author = {Jens Gerlach Christensen},
journal= {arXiv preprint arXiv:math/0301002},
year = {2007}
}
Comments
2 pages