arXiv:math-ph/0505026 · Reviews in Mathematical Physics

QUANTUM DYNAMICAL SEMIGROUPS GENERATED BY NONCOMMUTATIVE UNBOUNDED ELLIPTIC OPERATORS

CHANGSOO BAHN, Chul Ki Ko, Yong‐Moon Park

Published Jul 1, 2006• 1 citation

Abstract

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 [1] to show that the semigroups are conservative. We then apply our results to a quantum mechanical system.

DOI: 10.1142/s0129055x06002759

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