Quantum probability and applications to the quantum theory of irreversible processes : proceedings of the international workshop held at Villa Mondragone, Italy, September 6-11, 1982
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書誌事項
Quantum probability and applications to the quantum theory of irreversible processes : proceedings of the international workshop held at Villa Mondragone, Italy, September 6-11, 1982
（Lecture notes in mathematics, 1055）
Springer-Verlag, 1984
- : gw
- : us
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Proceedings of the Workshop on Quantum Probability and Applications to the Quantum Theory of Irreversible Processes, organized by the Dept. of Mathematics, University of Rome II, and the Dept. of Physics of the University of Milan
Includes bibliographies
内容説明・目次
目次
Some trends and problems in quantum probability.- Scattering theory for quantum dynamical semigroups.- Quantum stochastic processes.- On dynamical semigroups and compact group actions.- Irreversibility and chaos in quantum systems.- Noncommutative integration and conditioning.- Stochastic representation of thermal functionals.- Statistical independence of local algebras.- On the problem of non configurational observables in stochastic mechanics.- Markovian limits of multi time correlation functions for open quantum systems.- On stationary markov dilations of quantum dynamical semigroups (some remarks inspired by the workshop).- A model of irreversible deterministic quantum dynamics.- Probability and quantum mechanics the conceptual foundations of stochastic mechanics.- Kolmogorovian statistical invariants for the aspect-rapisarda experiment.- Covariant measurements and imprimitivity systems.- Construction of quantum diffusions.- The analytic continuation of a osterwalder-schrader positive representation of the euclidean group to a representation of the poincare group.- Appendix: A connection between quantum systems and stochastic processes.- Extensions of gleason theorem.- Examples of markov dilations over the 2x2 matrices.- Hamiltonian models of classical and quantum stochastic processes.- Quantum entropy and irreversibility.- Quantum ergodic theorems.- The quantum measurement process and the observation of continuous trajectories.- Generalized transition probabilities and applications.- Some remarks on quantum logics and ordered vector spaces.- A hierarchy of mixing properties for non-commutative K-systems.- Type and normality properties of some infrared representations.- Quantum theory of continuous measurements.- On the implementability of certain positive maps.- Energy versus entropy balance arguments in classical lattice systems.- Ito solution of the linear quantum stochastic differential equation describing light emission and absorption.
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