Quantum dynamical semigroups generated by noncommutative unbounded elliptic operators

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.1142/S0129055X06002759

We study quantum dynamical semigroups generated by noncommutative unbounded
elliptic operators which can be written as Lindblad type unbounded generators.
Under appropriate conditions, we first construct the minimal quantum dynamical
semigroups for the generators and then use Chebotarev and Fagnola's sufficient
conditions for conservativity to show that the semigroups are conservative.

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