Reviews in Mathematical Physics

REMARKS ON SUFFICIENT CONDITIONS FOR CONSERVATIVITY OF MINIMAL QUANTUM DYNAMICAL SEMIGROUPS

CHANGSOO BAHN, Chul Ki Ko, YONG MOON PARK

Published Aug 1, 2005• 2 citations

Abstract

We have obtained 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 concrete examples (models of heavy ion collision and noncommutative elliptic operators).

DOI: 10.1142/s0129055x05002418

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