Quantum Stochastic Semigroups and Their Generators
概率论
2007-05-23 v1 动力系统
摘要
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.
引用
@article{arxiv.math/0512360,
title = {Quantum Stochastic Semigroups and Their Generators},
author = {V. P. Belavkin},
journal= {arXiv preprint arXiv:math/0512360},
year = {2007}
}
备注
23 pages. See also related papers at http://www.maths.nott.ac.uk/personal/vpb/research/mar_dyn.html