A resolution of quantum dynamical semigroups

Details A resolution of quantum dynamical semigroups A resolution of quantum dynamical semigroups

2005-05-18

arxiv.org/abs/math/0505384v1

Mathematics

Operator Algebras

Scientific paper

We consider a class of quantum dissipative systems governed by a one
parameter completely positive maps on a von-Neumann algebra. We introduce a
notion of recurrent and metastable projections for the dynamics and prove that
the unit operator can be decomposed into orthogonal projections where each
projections are recurrent or metastable for the dynamics.

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