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Journal of Functional Analysis

An entropy-based uncertainty principle for a locally compact abelian group

Murad Özaydın, Tomasz Przebinda

Published Mar 20, 2004• 28 citations
Publisher
DOI
10.1016/j.jfa.2003.11.008

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A Wehrl entropy construction is proposed for an arbitrary locally compact abelian group GGG. It is proved that the Wehrl entropy is not less than a non-negative integer, which is an invariant of the group GGG. The minimum of the Wehrl entropy is achieved on coherent states.
A construction of the Wehrl entropy is proposed for an arbitrary locally compact abelian group GGG . It is proved that the Wehrl entropy is not less than a certain nonnegative integer, which is an invariant of the group GGG . The minimum of the Wehrl entropy is attained on coherent states.