On conservativity of covariant dynamical semigroups
β Scribed by Holevo, A.S.
- Book ID
- 122789805
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 924 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0034-4877
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π SIMILAR VOLUMES
Dynamical semigroups in \(\mathfrak{B}(\mathscr{H})\) without the norm-continuity assumption are investigated by introducing the notion of form-generator. giving the mathematical expression for the idea of Markovian master equation. It is shown that any formgenerator on \(\mathfrak{B}(\mathscr{H})\)
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.