Dissipative quantum mechanics: A proof of dynamical consistency
type: Item
instance of: scholarly article
title: Dissipative quantum mechanics: A proof of dynamical consistency
zbMATH Open document ID: 0669.58052
DOI: 10.1016/0378-4371(87)90201-9
author: S. H. Smith
published in: Physica A
publication date: 1987-01-01T00:00:00Z
review text: A full-blown consistency calculation - based either (i) on the explicit dynamical operator solutions of the Heisenberg equations, or alternatively (ii) on the operator Langevin equation - for a quantum oscillator interacting with an infinite thermal string yields the proper result that \([\zeta (t),p(t)]=i\hslash\) for all values of \(t>0\) given this value at \(t=0\), for all values of both the strength and the flexibility of the coupling between the particle and the field.
Mathematics Subject Classification ID: 58Z05
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 81Q99
zbMATH DE Number: 4096456
zbMATH Keywords: Heisenberg equations
MaRDI profile type: Publication
full work available at URL: 0378-4371(87)90201-9
OpenAlex ID: W1971126965
cites work: Do the Equations of Motion Determine the Quantum Mechanical Commutation Relations?
cites work: Dissipation in Quantum Mechanics. The Harmonic Oscillator. II
cites work: The Hamiltonian Formalism of Damping in a Tuned Circuit
cites work: Statistical Mechanics of Assemblies of Coupled Oscillators
cites work: Correspondence between Pierce's Coupled Mode Amplitudes and Quantum Operators
cites work: Dissipation in Quantum Mechanics. The Harmonic Oscillator
cites work: Quantum Theory of Radiation
cites work: Q3241389
cites work: Q5567753
cites work: Q3671491
description: scientific article; zbMATH DE number 4096456