Quantum Stochastic Semigroups and Their Generators

Details Quantum Stochastic Semigroups and Their Generators Quantum Stochastic Semigroups and Their Generators

2005-12-15

arxiv.org/abs/math/0512360v1

Published in: Irreversibility and Causality 82 --109. Springer Verlag, Lecture Notes in Physics, Berlin, 1998

Mathematics

Probability

23 pages. See also related papers at http://www.maths.nott.ac.uk/personal/vpb/research/mar_dyn.html

Scientific paper

A rigged Hilbert space characterisation of the unbounded generators of quantum completely positive (CP) stochastic semigroups is given. The general form and the dilation of the stochastic completely dissipative (CD) equation over the algebra L(H) is described, as well as the unitary quantum stochastic dilation of the subfiltering and contractive flows with unbounded generators is constructed.

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