Subproduct Systems of Quasi-Free Quantum Dynamical Semigroups
Date
2016-12
Authors
Alzulaibani, Alaa Awad
Journal Title
Journal ISSN
Volume Title
Publisher
Faculty of Graduate Studies and Research, University of Regina
Abstract
In this thesis, we construct a class of quantum dynamical semigroups, called quasifree quantum dynamical semigroups, of the von Neumann algebra generated by an arbitrary Weyl system, with respect to some compatible families of quasi-measures and C0-semigroups. We then describe in concrete terms their associated subproduct systems, in the case of irreducible Weyl systems.
Description
A Thesis
Submitted to the Faculty of Graduate Studies and Research
In Partial Fulfillment of the Requirements
for the Degree of
Doctor of Philosophy
In
Mathematics
University of Regina. v, 82 p.