Sufficient Conditions for Conservativity of Minimal Quantum Dynamical Semigroups
نویسندگان
چکیده
The conservativity of a minimal quantum dynamical semigroup is proved whenever there exists a " reference " 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. 1. Introduction A quantum dynamical semigroup (q.d.s.) T = (T t) t≥0 on B(h), the Banach space of bounded operators on a Hilbert space h, is a w *-continuous semigroup
منابع مشابه
Remarks on sufficient conditions for conservativity of minimal quantum dynamical semigroups
We obtain sufficient conditions for conservativity of minimal quantum dynamical semigroup by modifying and extending the method used in [1]. Our criterion for conservativity can be considered as a complement to Chebotarev and Fagnola’s conditions [1]. In order to show that our conditions are useful, we apply our results to a concrete example( a model of heavy ion collision).
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