> \pJava Excel API v2.6 Ba==h\:#8X@"1Arial1Arial1Arial1Arial + ) , * ` DC,Etitle[*]contributor[author]contributor[advisor]keywords[*]date[issued] publisher citationsidentifier[uri]identifier[doi]abstractrelation[journal]relation[volume]relation[no]relation[page];Quantum stochastic processes for maps on Hilbert C*-modulesլ1VHilbert space;
Stochastic processes;
Algebras;
Subspaces;
Noncommutative field theory;2011-05MAMER INST PHYSICS, 1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA5JOURNAL OF MATHEMATICAL PHYSICS; MAY 2011, 52 5, 16p.]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 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]JOURNAL OF MATHEMATICAL PHYSICS525-&HQsj&)KLng!*-h
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