On Lieb's conjecture for the Wehrl entropy of Bloch coherent states
Mathematical Physics
2009-10-31 v1 Statistical Mechanics
High Energy Physics - Theory
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/9902017,
title = {On Lieb's conjecture for the Wehrl entropy of Bloch coherent states},
author = {Peter Schupp},
journal= {arXiv preprint arXiv:math-ph/9902017},
year = {2009}
}
Comments
19 pages, LaTeX, amsfonts