Proof of the generalized Lieb-Wehrl conjecture for integer indices larger than one

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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8 pages, typos fixed, published version

Scientific paper

10.1088/0305-4470/35/42/105

Gnutzmann and Zyczkowski have proposed the Renyi-Wehrl entropy as a
generalization of the Wehrl entropy, and conjectured that its minimum is
obtained for coherent states. We prove this conjecture for the Renyi index
q=2,3,... in the cases of compact semisimple Lie groups. A general formula for
the minimum value is given.

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