Proof of the generalized Lieb-Wehrl conjecture for integer indices larger than one
Chaotic Dynamics
2009-11-07 v4 Mathematical Physics
math.MP
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.nlin/0208007,
title = {Proof of the generalized Lieb-Wehrl conjecture for integer indices larger than one},
author = {Ayumu Sugita},
journal= {arXiv preprint arXiv:nlin/0208007},
year = {2009}
}
Comments
8 pages, typos fixed, published version