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

4 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

Access to Document

10.1007/s10955-015-1237-6

Cite this

@article{16e4c0be35804df5a2d7e294b5b0348a,

title = "Golden–Thompson{\textquoteright}s Inequality for Deformed Exponentials",

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",

note = "Publisher Copyright: {\textcopyright} 2015, Springer Science+Business Media New York.",

year = "2015",

month = jun,

day = "28",

doi = "10.1007/s10955-015-1237-6",

language = "English",

volume = "159",

pages = "1300--1305",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer New York",

number = "6",

}

TY - JOUR

T1 - Golden–Thompson’s Inequality for Deformed Exponentials

AU - Hansen, Frank

PY - 2015/6/28

Y1 - 2015/6/28

N2 - 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].

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

UR - http://www.scopus.com/inward/record.url?scp=84929964830&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84929964830&partnerID=8YFLogxK

U2 - 10.1007/s10955-015-1237-6

DO - 10.1007/s10955-015-1237-6

M3 - Article

AN - SCOPUS:84929964830

VL - 159

SP - 1300

EP - 1305

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 6

ER -

Golden–Thompson’s Inequality for Deformed Exponentials

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this