Wehrl-Lieb's inequality for entropy and the uncertainty relation (Q1068473)
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scientific article; zbMATH DE number 3932169
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wehrl-Lieb's inequality for entropy and the uncertainty relation |
scientific article; zbMATH DE number 3932169 |
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Wehrl-Lieb's inequality for entropy and the uncertainty relation (English)
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1984
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\textit{A. Wehrl} [ibid. 16, 353-358 (1979; Zbl 0444.60100)] has defined a new classical entropy by means of coherent states and conjectured that this entropy is greater than one. \textit{E. H. Lieb} [Commun. Math. Phys. 62, 35-41 (1978; Zbl 0385.60089)] proved Wehrl's conjecture. In our note we discuss a certain reformulation of the classical entropy. We show that Wehrl's inequality for reformulated entropy implies the usual version of the Heisenberg uncertainty relation.
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Young inequalities
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Wehrl's conjecture
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entropy
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Heisenberg uncertainty relation
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