Sufficient Conditions for Conservativity of Minimal Quantum Dynamical Semigroups

نویسندگان

  • A. M. Chebotarev
  • F. Fagnola
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

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تاریخ انتشار 1998