Structure of the algebra of effective observables in quantum mechanics.

DOI10.1006/aphy.2000.6086zbMath1050.81030arXivquant-ph/0003032OpenAlexW2060852138MaRDI QIDQ5938507

Robert Olkiewicz

Publication date: 22 July 2001

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0003032

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Applications of functional analysis in quantum physics (46N50) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (14)

Quantum dynamical semigroups for finite and infinite Bose systems ⋮ DECOHERENCE IN HEISENBERG'S REPRESENTATION ⋮ Environment induced decoherence for Markovian evolutions ⋮ DECOHERENCE INDUCED TRANSITION FROM QUANTUM TO CLASSICAL DYNAMICS ⋮ Spectral and ergodic properties of completely positive maps and decoherence ⋮ The general structure of the decoherence-free subalgebra for uniformly continuous quantum Markov semigroups ⋮ From quantum to quantum via decoherence ⋮ Covariant uniformly continuous quantum Markov semigroups ⋮ Unitarity as preservation of entropy and entanglement in quantum systems ⋮ Decoherence for quantum Markov semi-groups on matrix algebras ⋮ On the asymptotic behavior of generic quantum Markov semigroups ⋮ Effectively classical quantum states for open systems ⋮ Entangled versus classical quantum states ⋮ Decoherence for positive semigroups on M2(${\mathbb C}$C)

Cites Work

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• On the generators of quantum dynamical semigroups
• Environment-induced superselection rules in Markovian regime
• Superselection rules, quantum measurement, and the Schrödinger's cat
• The Intrinsic Parity of Elementary Particles

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