Non-recurrent behaviour in quantum dynamics
type: Item
instance of: scholarly article
title: Non-recurrent behaviour in quantum dynamics
zbMATH Open document ID: 0581.46062
DOI: 10.1007/BF01215758
author: Giulio Casati
author: Italo Guarneri
published in: Communications in Mathematical Physics
publication date: 1984-01-01T00:00:00Z
review text: We study the motion of a quantum rotator under an external periodic perturbation. For the resonant case, i.e. when the frequency of driving pulses is rationally connected with the frequencies of the free rotator, the quasi-energy spectrum is known to be continuous. We prove that for a generic choice of the potential there is a non-empty set of non-resonant values of the external frequency such that the quasi-energy spectrum still has a continuous component.
Mathematics Subject Classification ID: 46N99
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 81Q15
zbMATH DE Number: 3929738
zbMATH Keywords: motion of a quantum rotator under an external periodic perturbation
zbMATH Keywords: resonant case
zbMATH Keywords: quasi-energy spectrum
zbMATH Keywords: continuous component
MaRDI profile type: Publication
cites work: Q3963837
cites work: Q5581948
cites work: Berichtigung zu meiner Arbeit �Vergleich der mittleren Bewegungen in der babylonischen, griechischen und indischen Astronomie> (Centaurus 11, p. 1?18)
full work available at URL: https://doi.org/10.1007/bf01215758
OpenAlex ID: W2026572196
description: scientific article; zbMATH DE number 3929738