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arXiv:math/0301002 [math.DG]AbstractReferencesReviewsResources

The uncertainty principle for operators determined by Lie groups

Jens Gerlach Christensen

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
Categories: math.DG, math-ph, math.MP
Subjects: 22E45, 47B15, 47B25, 81Q10
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