Golden–Thompson’s Inequality for Deformed Exponentials

Frank Hansen

doi:10.1007/s10955-015-1237-6

Golden–Thompson’s Inequality for Deformed Exponentials

Frank Hansen

Division of Developmental Research in Education Programs

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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	https://doi.org/10.1007/s10955-015-1237-6
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

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10.1007/s10955-015-1237-6

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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{\textquoteright}s trace inequality for $$ q $$q-exponentials with parameter $$ q $$q in the interval $$ [1,3]$$[1,3].",

keywords = "Concave trace function, Deformed exponentials, Golden–Thompson{\textquoteright}s trace inequality",

author = "Frank Hansen",

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AB - 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].

KW - Concave trace function

KW - Deformed exponentials

KW - Golden–Thompson’s trace inequality

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ER -

Golden–Thompson’s Inequality for Deformed Exponentials

Abstract

Keywords

ASJC Scopus subject areas

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