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
Published on 1. April 1984
Book
Paperback/Softback
VIII, 412 pages
978-3-540-12915-8 (ISBN)
Description
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 2¿ 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.
More details
Series
Edition
1984 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 412 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 23 mm
Weight
633 gr
ISBN-13
978-3-540-12915-8 (9783540129158)
DOI
10.1007/BFb0071705
Schweitzer Classification
Content
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 2×2 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.