arXiv math/03010022003-01-25math.DGmath-phmath.MP

The uncertainty principle for operators determined by Lie groups

Jens Gerlach Christensen

备注：: 2 pages

英文摘要：

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.

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