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
1. Auflage 1984
ISBN: 978-3-540-12915-8
Verlag: Springer

Buch, Englisch, Band 1055, 412 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1290 g

Reihe: Lecture Notes in Mathematics

Springer Book Archives

Zielgruppe

Research

Autoren/Hrsg.

Accardi, L.

Frigerio, A.

Gorini, V.

Fachgebiete

• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Naturwissenschaften Physik Quantenphysik

Inhaltsverzeichnis

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.