Regular Article
Sufficient Conditions for Conservativity of Minimal Quantum Dynamical Semigroups

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Abstract

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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K. ItôT. Hida

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Supported by GNAFA–CNR Italy and INTAS Grant 96-0698.

Member of GNAFA–CNR Italy.