1.

Record Nr.

UNISA996466538703316

Titolo

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 / / edited by L. Accardi, A. Frigerio, and V. Gorini

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer-Verlag, , [1984]

©1984

ISBN

3-540-38798-6

Edizione

[1st ed. 1984.]

Descrizione fisica

1 online resource (VIII, 412 p.)

Collana

Lecture Notes in Mathematics ; ; 1055

Classificazione

60-06 81-06

81-06 81-06

Disciplina

530.15

Soggetti

Mathematical physics

Quantum theory

Quantumfield theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.