Proof of an entropy conjecture of Wehrl

Elliott H. Lieb

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192 Scopus citations

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 languageAmerican English
Pages (from-to)35-41
Number of pages7
JournalCommunications In Mathematical Physics
Volume62
Issue number1
DOIs
StatePublished - Aug 1978

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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