Sufficient Conditions for Conservativity of Minimal Quantum Dynamical Semigroups

The conservativity of a minimal quantum dynamical semigroup is proved whenever there exists a “generalized” subharmonic operator bounded from below by the dissipative part of the infinitesimal generator. We discuss applications of this criteria in mathematical physics and quantum probability.

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Bibliographic Details
Published in:Journal of functional analysis 1998-03, Vol.153 (2), p.382-404
Main Authors: Chebotarev, A.M, Fagnola, F
Format: Article
Language:English
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Summary:The conservativity of a minimal quantum dynamical semigroup is proved whenever there exists a “generalized” subharmonic operator bounded from below by the dissipative part of the infinitesimal generator. We discuss applications of this criteria in mathematical physics and quantum probability.
ISSN:0022-1236
1096-0783
DOI:10.1006/jfan.1997.3189