Irreversible evolution in quantum logics
type: Item
instance of: scholarly article
title: Irreversible evolution in quantum logics
zbMATH Open document ID: 0774.03034
DOI: 10.1007/BF00673969
author: Antonio Zecca
published in: International Journal of Theoretical Physics
publication date: 1993-01-16T00:00:00Z
review text: The author presents a possible characterization of irreversible dynamics in the context of quantum logic. An analogous investigation of reversible dynamics was performed in a paper by \textit{V. Gorini} and the author [J. Math. Phys. 16, 667-669 (1975)]. The dynamical semigroup used here consists of certain linear endomorphisms of the linear span of the state space. As existence and uniqueness of the observables are postulated, the observables form a normed linear space. The author introduces the Heisenberg and the Schrödinger pictures in this logic scheme and proves their equivalence. Regrettably, the paper lacks any reference to recent research, and also a comparison to the corresponding section of the monograph of \textit{E. G. Beltrametti} and \textit{G. Cassinelli} [The logic of quantum mechanics (1981; Zbl 0504.03026)] would have been useful.
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 95363
zbMATH Keywords: Heisenberg picture
zbMATH Keywords: Schrödinger picture
zbMATH Keywords: irreversible dynamics
zbMATH Keywords: dynamical semigroup
reviewed by: Mirko Navara
MaRDI profile type: Publication
cites work: Markovian master equations
cites work: Quantum dynamical semigroups and the neutron diffusion equation
cites work: Generators of dynamical semigroups
cites work: Properties of quantum Markovian master equations
cites work: Q3245484
cites work: Uniqueness and existence properties of bounded observables
cites work: A Superposition Principle in Physics
cites work: On the generators of quantum dynamical semigroups
cites work: On the generator of completely positive dynamical semigroups of N-level systems
cites work: Q5620934
cites work: The superposition of the states and the logic approach to quantum mechanics
description: scientific article; zbMATH DE number 95363