Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 허재성 | - |
dc.date.accessioned | 2018-02-08T08:10:59Z | - |
dc.date.available | 2018-02-08T08:10:59Z | - |
dc.date.issued | 2011-05 | - |
dc.identifier.citation | JOURNAL OF MATHEMATICAL PHYSICS; MAY 2011, 52 5, 16p. | en_US |
dc.identifier.issn | 0022-2488 | - |
dc.identifier.uri | http://aip.scitation.org/doi/abs/10.1063/1.3582778 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.11754/36334 | - |
dc.description.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] | en_US |
dc.language.iso | en | en_US |
dc.publisher | AMER INST PHYSICS, 1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA | en_US |
dc.subject | Hilbert space | en_US |
dc.subject | Stochastic processes | en_US |
dc.subject | Algebras | en_US |
dc.subject | Subspaces | en_US |
dc.subject | Noncommutative field theory | en_US |
dc.title | Quantum stochastic processes for maps on Hilbert C*-modules | en_US |
dc.type | Article | en_US |
dc.relation.no | 5 | - |
dc.relation.volume | 52 | - |
dc.relation.page | - | - |
dc.relation.journal | JOURNAL OF MATHEMATICAL PHYSICS | - |
dc.contributor.googleauthor | Heo, Jaeseong | - |
dc.contributor.googleauthor | Ji, Un Cig | - |
dc.relation.code | 2011205393 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | hjs | - |
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