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The uncertainty principle for operators determined by Lie groups

Jens Gerlach Christensen
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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|| >= | |/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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Jens Gerlach Christensen. 2003-01-25. The uncertainty principle for operators determined by Lie groups. https://arxiv.org/abs/math/0301002

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