Minimal quantum dynamical semigroup on a von Neumann algebra

Authors
Goswami, D Sinha, KB
Citation
D. Goswami et Kb. Sinha, Minimal quantum dynamical semigroup on a von Neumann algebra, INFIN DIMEN, 2(2), 1999, pp. 221-239
Citations number
17
Categorie Soggetti
Mathematics
Journal title
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
ISSN journal
02190257 → ACNP
Volume
2
Issue
2
Year of publication
1999
Pages
221 - 239
Database
ISI
SICI code
0219-0257(199906)2:2<221:MQDSOA>2.0.ZU;2-#
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 g iven and in the case when it is not conservative, a distinguished family of conservative perturbations of the semigroup is studied. Finally, some of t hese results are applied to the classical Markov semigroup with arbitrary s tate space.