Proof of an Entropy Conjecture of Wehrl

Elliott H. Lieb
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Elliott H. Lieb: Princeton University, Departments of Mathematics and Physics

A chapter in Inequalities, 2002, pp 359-365 from Springer

Abstract: 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.

Keywords: Coherent State; Quantum Entropy; Finite Dimensional Vector Space; Classical Entropy; Entire Analytic Function (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55925-9_30

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DOI: 10.1007/978-3-642-55925-9_30

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