Inequalities pp 359-365 | Cite as

Proof of an Entropy Conjecture of Wehrl

  • Elliott H. Lieb


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.


Coherent State Quantum Entropy Finite Dimensional Vector Space Classical Entropy Entire Analytic Function 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Elliott H. Lieb
    • 1
  1. 1.Departments of Mathematics and PhysicsPrinceton UniversityPrincetonUSA

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