### 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) |
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Pages (from-to) | 35-41 |

Number of pages | 7 |

Journal | Communications in Mathematical Physics |

Volume | 62 |

Issue number | 1 |

DOIs | |

State | Published - Aug 1 1978 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Lieb, E. H. (1978). Proof of an entropy conjecture of Wehrl.

*Communications in Mathematical Physics*,*62*(1), 35-41. https://doi.org/10.1007/BF01940328