We have obtained sufficient conditions for conservativity of minimal quantum dynamical semigroup by modifying and extending the method used in , Our criterion for conservativity can be considered as a complement to Chebotarev and Fagnola's conditions. 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).
Bibliographical noteFunding Information:
The authors would like to thank their anonymous referees for suggestions made for the improvement of the paper. This work was supported by the Korea Research Foundation Grant (KRF-2003-005-C00010).
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics