# The Green-Kubo Formula and the Onsager Reciprocity Relations in Quantum Statistical Mechanics

@article{Jaksic2006TheGF,
title={The Green-Kubo Formula and the Onsager Reciprocity Relations in Quantum Statistical Mechanics},
author={Vojkan Jaksic and Yoshiko Ogata and Claude-Alain Pillet},
journal={Communications in Mathematical Physics},
year={2006},
volume={265},
pages={721-738}
}
• Published 26 April 2006
• Physics
• Communications in Mathematical Physics
We study linear response theory in the general framework of algebraic quantum statistical mechanics and prove the Green-Kubo formula and the Onsager reciprocity relations for heat fluxes generated by temperature differentials. Our derivation is axiomatic and the key assumptions concern ergodic properties of non-equilibrium steady states.
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