Golden-Thompson's inequality for deformed exponentials
Mathematical Physics
2015-07-21 v2 math.MP
Operator Algebras
Abstract
Deformed logarithms and their inverse functions, the deformed exponentials, are important tools in the theory of non-additive entropies and non-extensive statistical mechanics. We formulate and prove counterparts of Golden-Thompson's trace inequality for q-exponentials with parameter q in the interval [1,3].
Keywords
Cite
@article{arxiv.1409.1110,
title = {Golden-Thompson's inequality for deformed exponentials},
author = {Frank Hansen},
journal= {arXiv preprint arXiv:1409.1110},
year = {2015}
}
Comments
Introduction added; minor improvements of style