Ergodicity in classical and quantum statistical mechanics
In the framework of a general ergodic theory, including both cases of classical and quantum statistical mechanics, two theorems are established: the first, stating that any strongly Abelian ergodic dynamical semigroup has an invariant state, and the second one, concerning the quantum dynamical semig...
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| Published in | Reports on mathematical physics Vol. 9; no. 1; pp. 1 - 8 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
1976
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| Online Access | Get full text |
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| Summary: | In the framework of a general ergodic theory, including both cases of classical and quantum statistical mechanics, two theorems are established: the first, stating that any strongly Abelian ergodic dynamical semigroup has an invariant state, and the second one, concerning the quantum dynamical semigroups only, and being an exact analogue of the classical statistical ergodic theorem. |
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| ISSN: | 0034-4877 1879-0674 |
| DOI: | 10.1016/0034-4877(76)90012-4 |