허재성
20180208T08:10:59Z
20180208T08:10:59Z
201105
JOURNAL OF MATHEMATICAL PHYSICS; MAY 2011, 52 5, 16p.
00222488
http://aip.scitation.org/doi/abs/10.1063/1.3582778
http://hdl.handle.net/20.500.11754/36334
We discuss pairs (phi, Phi) of maps, where phi is a map between C*algebras and Phi is a phimodule 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 phiquantum dynamical semigroup Phi = {Phi(t)} is a jmap 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 phiquantum dynamical semigroup Phi is covariant. (C) 2011 American Institute of Physics. [doi:10.1063/1.3582778]
en
AMER INST PHYSICS, 1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 117474501 USA
Hilbert space
Stochastic processes
Algebras
Subspaces
Noncommutative field theory
Quantum stochastic processes for maps on Hilbert C*modules
Article
5
52

JOURNAL OF MATHEMATICAL PHYSICS
Heo, Jaeseong
Ji, Un Cig
2011205393
S
COLLEGE OF NATURAL SCIENCES[S]
DEPARTMENT OF MATHEMATICS
hjs