Goswami, Debashish (2002) A remark on the structure of symmetric quantum dynamical semigroups on von Neumann algebras Infinite Dimensional Analysis, Quantum Probability and Related Topics, 5 (4). pp. 571-579. ISSN 0219-0257
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Official URL: http://www.worldscientific.com/doi/pdf/10.1142/S02...
Related URL: http://dx.doi.org/10.1142/S0219025702001012
Abstract
We study the structure of the generator of a symmetric, conservative quantum dynamical semigroup with norm-bounded generator on a von Neumann algebra equipped with a faithful semifinite trace. For von Neumann algebras with Abelian commutant (i.e. type I von Neumann algebras), we give a necessary and sufficient algebraic condition for the generator of such a semigroup to be written as a sum of square of self-adjoint derivations of the von Neumann algebra. This generalizes some of the results obtained by Albeverio, Høegh-Krohn and Olsen for the special case of the finite-dimensional matrix algebras. We also study similar questions for a class of quantum dynamical semigroups with unbounded generators.
Item Type: | Article |
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Source: | Copyright of this article belongs to World Scientific Publishing. |
Keywords: | Quantum Dynamical Semigroup; Faithful Semifinite Trace |
ID Code: | 102177 |
Deposited On: | 01 Feb 2018 04:36 |
Last Modified: | 01 Feb 2018 04:36 |
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