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.
Original language | English |
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Pages (from-to) | 595-617 |
Number of pages | 23 |
Journal | Reviews in Mathematical Physics |
Volume | 18 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2006 Jul |
Bibliographical note
Funding Information:The authors would like to thank their anonymous referees for suggestions to improve the paper. This work was supported by Korea Research Foundation Grant (KRF-2003-005-00010, KRF-2003-005-C00011).
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics