Journal of Mathematical Physics

Tsallis entropies and matrix trace inequalities in quantum statistical mechanics

Natália Bebiano, João da Providência, João P. da Providência

Published Oct 1, 2012• 1 citation

Abstract

Extensions of trace inequalities arising in statistical mechanics are derived in a straightforward and unified way from a variational characterization of the Tsallis entropy. Namely, one-parameter extension of the thermodynamic inequality is presented and its equivalence to a generalized Peierls–Bogoliubov inequality is stated, in the sense that one may be obtained from the other, and vice versa.

DOI: 10.1063/1.4753981

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