On the existence and robustness of steady position-momentum correlations for time-dependent quadratic systems
type: Item
instance of: scholarly article
title: On the existence and robustness of steady position-momentum correlations for time-dependent quadratic systems
zbMATH Open document ID: 1248.81037
DOI: 10.1155/2012/731602
published in: Advances in Mathematical Physics
publication date: 2012-09-04T00:00:00Z
review text: Summary: We discuss conditions giving rise to stationary position-momentum correlations among quantum states in the Fock and coherent basis associated with the natural invariant for the one-dimensional time-dependent quadratic Hamiltonian operators such as the Kanai-Caldirola Hamiltonian. We also discuss some basic features such as quantum decoherence of the wave functions resulting from the corresponding quantum dynamics of these systems that exhibit no timedependence in their quantum correlations. In particular, steady statistical momentum averages are seen over well-defined time intervals in the evolution of a linear superposition of the basis states of modified exponentially damped mass systems.
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81S22
Mathematics Subject Classification ID: 81P40
zbMATH DE Number: 6076599
Wikidata QID: Q58699587
author: M. Gianfreda
author: G. Landolfi
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/731602
OpenAlex ID: W2042533258
cites work: Q3631781
cites work: A NOTE ON THE LOSS OF COHERENCE IN WAVE PACKETS SQUEEZED SYSTEMS
cites work: Exact linear invariants and quantum effects in the early Universe
cites work: Gaussian wave packet states of scalar fields in a universe of de Sitter
cites work: Geometric phases and squeezed quantum states of relic gravitons
cites work: Hamiltonian dynamics on the symplectic extended phase space for autonomous and non-autonomous systems
cites work: Canonical transformations and exact invariants for time-dependent Hamiltonian systems
cites work: Exact Quantization Conditions. II
cites work: The quantum damped harmonic oscillator
cites work: Weyl-ordered series form for the angle variable of the time-dependent oscillator
cites work: The damped Pinney equation and its applications to dissipative quantum mechanics
cites work: Q5479641
cites work: Dynamical invariants for variable quadratic Hamiltonians
description: scientific article; zbMATH DE number 6076599