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 $$ q $$q-exponentials with parameter $$ q $$q in the interval $$ [1,3]$$[1,3].
Original language | English |
---|---|
Pages (from-to) | 1300-1305 |
Number of pages | 6 |
Journal | Journal of Statistical Physics |
Volume | 159 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2015 Jun 28 |
Keywords
- Concave trace function
- Deformed exponentials
- Golden–Thompson’s trace inequality
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics