Goswami, Debashish ; Sinha, Kalyan B. (1999) Minimal quantum dynamical semiguoup on a von Neumann algebra Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2 (2). pp. 221-239. ISSN 0219-0257
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Official URL: http://www.worldscinet.com/idaqp/02/0202/S02190257...
Related URL: http://dx.doi.org/10.1142/S0219025799000126
Abstract
Given a formal unbounded generator, the minimal quantum dynamical semigroup on a von Neumann algebra is constructed. A set of equivalent necessary and sufficient conditions for the conservativity of the minimal semigroup is given and in the case when it is not conservative, a distinguished family of conservative perturbations of the semigroup is studied. Finally, some of these results are applied to the classical Markov semigroup with arbitrary state space.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to World Scientific Publishing Company. |
| ID Code: | 61303 |
| Deposited On: | 15 Sep 2011 03:50 |
| Last Modified: | 15 Sep 2011 03:50 |
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