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

Authors
Schupp, P
Citation
P. Schupp, On Lieb's conjecture for the Wehrl entropy of Bloch coherent states, COMM MATH P, 207(2), 1999, pp. 481-493
Citations number
15
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
207
Issue
2
Year of publication
1999
Pages
481 - 493
Database
ISI
SICI code
0010-3616(199911)207:2<481:OLCFTW>2.0.ZU;2-X
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 entr opy 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 a ll spin of a related inequality.