Remarks on the quasi-classical propagator of area-preserving maps
type: Item
instance of: scholarly article
title: Remarks on the quasi-classical propagator of area-preserving maps
zbMATH Open document ID: 0758.58008
DOI: 10.1016/0167-2789(92)90020-N
author: G. Junker
author: Hajo Leschke
published in: Physica D
publication date: 1993-01-16T00:00:00Z
review text: Starting from the path-integral-like expression the quantum propagator in the configuration space for periodically delta-kicked systems, which generate the discrete-time area-preserving maps, is investigated in the quasi-classical limit. The appearance of Maslov-like phases is found. The simple recurrence relations for the contribution amplitudes are used to estimate the contributions of stable and unstable classical paths to the quasi-classical propagator within a harmonic approximation. The numerical results for a quartic kicking potential, the quasi-energy spectrum and the range of validity for the WKB-approximation are discussed.
Mathematics Subject Classification ID: 58D30
Mathematics Subject Classification ID: 58Z05
Mathematics Subject Classification ID: 81S40
Mathematics Subject Classification ID: 81Q50
zbMATH DE Number: 91649
zbMATH Keywords: quasi-classical propagator
zbMATH Keywords: area-preserving maps
zbMATH Keywords: Maslov-like phases
zbMATH Keywords: stable and unstable classical paths
reviewed by: Alexey V. Kiselev
MaRDI profile type: Publication
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full work available at URL: 0167-2789(92)90020-n
OpenAlex ID: W1967619701
description: scientific article; zbMATH DE number 91649