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Lieb's conjecture for the Wehrl entropy of Bloch coherent states is provedfor spin 1 and spin 3/2. Using a geometric representation we solve the entropyintegrals for states of arbitrary spin and evaluate them explicitly in thecases of spin 1, 3/2, and 2. We also give a group theoretic proof for all spinof a related inequality.Comment: 19 pages, LaTeX, amsfont

On Lieb's Conjecture for the Wehrl Entropy¶of Bloch Coherent States