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Proof of an entropy conjecture of Wehrl

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Abstract

Wehrl has proposed a new definition of classical entropy,S, in terms of coherent states and conjectured thatS≧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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Authors and Affiliations

  1. Departments of Mathematics and Physics, Princeton University, 08540, Princeton, New Jersey, USA

    Elliott H. Lieb

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  1. Elliott H. Lieb
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Communicated by J. Glimm

Work partially supported by US National Science Foundation grant MCS 75-21684 A02

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Lieb, E.H. Proof of an entropy conjecture of Wehrl. Commun.Math. Phys. 62, 35–41 (1978). https://doi.org/10.1007/BF01940328

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  • DOI: https://doi.org/10.1007/BF01940328

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