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Ergodic property of Markovian semigroups on standard forms of von Neumann algebras.
- Source :
-
Journal of Mathematical Physics . Nov2005, Vol. 46 Issue 11, p113507. 12p. - Publication Year :
- 2005
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 46
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 19071056
- Full Text :
- https://doi.org/10.1063/1.2113067