Quantum stochastic processes for maps on Hilbert C*-modules

- Title
- Quantum stochastic processes for maps on Hilbert C*-modules

- Author
- 허재성

- Keywords
- Hilbert space; Stochastic processes; Algebras; Subspaces; Noncommutative field theory

- Issue Date
- 2011-05

- Publisher
- AMER INST PHYSICS, 1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA

- Citation
- JOURNAL OF MATHEMATICAL PHYSICS; MAY 2011, 52 5, 16p.

- Abstract
- We discuss pairs (phi, Phi) of maps, where phi is a map between C*-algebras and Phi is a phi-module map between Hilbert C*-modules, which are generalization of representations of Hilbert C*-modules. A covariant version of Stinespring's theorem for such a pair (phi, Phi) is established, and quantum stochastic processes constructed from pairs ({phi(t)}, {Phi(t)}) of families of such maps are studied. We prove that the quantum stochastic process J = {J(t)} constructed from a phi-quantum dynamical semigroup Phi = {Phi(t)} is a j-map for the quantum stochastic process j = {j(t)} constructed from the given quantum dynamical semigroup phi = {phi(t)}, and that J is covariant if the phi-quantum dynamical semigroup Phi is covariant. (C) 2011 American Institute of Physics. [doi:10.1063/1.3582778]

- ISSN
- 0022-2488

- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles

- Files in This Item:

There are no files associated with this item.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.