On Lieb's conjecture for the Wehrl entropy of Bloch coherent states

Details On Lieb's conjecture for the Wehrl entropy of Bloch coherent states On Lieb's conjecture for the Wehrl entropy of Bloch coherent states

1999-02-12

arxiv.org/abs/math-ph/9902017v1

Physics

Mathematical Physics

19 pages, LaTeX, amsfonts

Scientific paper

10.1007/s002200050734

Lieb's conjecture for the Wehrl entropy of Bloch coherent states is proved
for spin 1 and spin 3/2. Using a geometric representation we solve the entropy
integrals for states of arbitrary spin and evaluate them explicitly in the
cases of spin 1, 3/2, and 2. We also give a group theoretic proof for all spin
of a related inequality.

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