Quantum dynamical semigroups generated by noncommutative unbounded elliptic operators
Mathematical Physics
2009-11-11 v1 Functional Analysis
math.MP
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 to show that the semigroups are conservative.
Cite
@article{arxiv.math-ph/0505026,
title = {Quantum dynamical semigroups generated by noncommutative unbounded elliptic operators},
author = {C. Bahn and C. K. Ko and Y. M. Park},
journal= {arXiv preprint arXiv:math-ph/0505026},
year = {2009}
}