Ergodic property of Markovian semigroups on standard forms of von Neumann algebras
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematics, Yonsei University, Seoul 120-749 (Korea, Republic of)
We give sufficient conditions for ergodicity of the Markovian semigroups associated to Dirichlet forms on standard forms of von Neumann algebras constructed by the method proposed by Park. We apply our result to show that the diffusion type Markovian semigroups for quantum spin systems are ergodic in the region of high temperatures where the uniqueness of the KMS state holds.
- OSTI ID:
- 20699623
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 11 Vol. 46; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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