arXiv:math/0301002 [math.DG]AbstractReferencesReviewsResources
The uncertainty principle for operators determined by Lie groups
Published 2003-01-01, updated 2003-01-25Version 2
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.
Comments: 2 pages
Related articles: Most relevant | Search more
arXiv:0801.4735 [math.DG] (Published 2008-01-30)
The inverse problem for invariant Lagrangians on a Lie group
arXiv:1504.04065 [math.DG] (Published 2015-04-15)
Octonionic presentation for the Lie group $SL(2,{\mathbb O})$
arXiv:1509.04414 [math.DG] (Published 2015-09-15)
Invariant metrizability and projective metrizability on Lie groups and homogeneous spaces