Goswami, Debashish ; Sinha, Kalyan B. (1999) Minimal quantum dynamical semigroup on a von neumann algebra Infinite Dimensional Analysis, Quantum Probability and Related Topics, 02 (02). pp. 221-239. ISSN 0219-0257
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Official URL: http://www.worldscientific.com/doi/abs/10.1142/S02...
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 |
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Source: | Copyright of this article belongs to World Scientific Publishing. |
ID Code: | 102175 |
Deposited On: | 01 Feb 2018 04:02 |
Last Modified: | 01 Feb 2018 04:02 |
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