English

Remarks on sufficient conditions for conservativity of minimal quantum dynamical semigroups

Mathematical Physics 2007-05-23 v1 Functional Analysis math.MP

Abstract

We obtain sufficient conditions for conservativity of minimal quantum dynamical semigroup by modifying and extending the method used in [Chebotarev and Fagnola, J. Funct. Anal. 153(1998), 382-404]. 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 a concrete example(a model of heavy ion collision).

Keywords

Cite

@article{arxiv.math-ph/0503047,
  title  = {Remarks on sufficient conditions for conservativity of minimal quantum dynamical semigroups},
  author = {C. Bahn C. K. Ko and Y. M. Park},
  journal= {arXiv preprint arXiv:math-ph/0503047},
  year   = {2007}
}