Mean Entropy of States in Quantum-Statistical Mechanics
- 1 July 1968
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 9 (7), 1120-1125
- https://doi.org/10.1063/1.1664685
Abstract
The equilibrium states for an infinite system of quantum mechanics may be represented by states over suitably chosen C* algebras. We consider the problem of associating an entropy with these states and finding its properties, such as positivity, subadditivity, etc. For the states of a quantum‐spin system, a mean entropy is defined and it is shown that this entropy is affine and upper semicontinuous.Keywords
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