Article ID Journal Published Year Pages File Type
4591875 Journal of Functional Analysis 2009 23 Pages PDF
Abstract

For a class of quasifree quantum dynamical semigroups on the algebra of the canonical commutation relations (CCR) we give sufficient conditions for these semigroups to extend to ultraweakly continuous semigroups of normal operators on the von Neumann algebra associated with a representation of the CCR. Then the explicit form of the generators of the extended semigroups is calculated.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory