Proof of an entropy conjecture of Wehrl

Elliott H. Lieb

doi:10.1007/BF01940328

Proof of an entropy conjecture of Wehrl

Elliott H. Lieb

Mathematics

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Abstract

Wehrl has proposed a new definition of classical entropy, S, in terms of coherent states and conjectured that S≧1. A proof of this is given. We discuss the analogous problem for Bloch coherent spin states, but in this case the conjecture is still open. An inequality for the entropy of convolutions is also given.

Original language	English (US)
Pages (from-to)	35-41
Number of pages	7
Journal	Communications In Mathematical Physics
Volume	62
Issue number	1
DOIs	https://doi.org/10.1007/BF01940328
State	Published - Aug 1978

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01940328

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abstract = "Wehrl has proposed a new definition of classical entropy, S, in terms of coherent states and conjectured that S≧1. A proof of this is given. We discuss the analogous problem for Bloch coherent spin states, but in this case the conjecture is still open. An inequality for the entropy of convolutions is also given.",

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Proof of an entropy conjecture of Wehrl

Abstract

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