Quasiperiodic propagation in time of some classical/quantum systems: Nielsen's conserved quantity and Floquet properties

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dc.creatorKramer, Peter
dc.creatorKramer, Tobias
dc.creatorMan'ko, Vladimir I.
dc.date2008-06-22
dc.date2008-10-19
dc.date.accessioned2026-07-07T13:11:39Z
dc.date.available2026-07-07T13:11:39Z
dc.descriptionWe consider classical and quantum propagators for two different time intervals. If these propagators follow one another in a Fibonacci sequence we get a discrete quasiperiodic system. A theorem due to Nielsen provides a novel conserved quantity for this system. The Nielsen quantity controls the transition between commutative and non-commutative propagation in time. The quasiperiodically kicked oscillator moreover is dominated by quasiperiodic analogues of the Floquet theorem.
dc.description19 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0806.3564
dc.identifierhttp://arxiv.org/abs/0806.3564
dc.identifierPhysica Scripta vol 79, p. 055006 (2009)
dc.identifierdoi:10.1088/0031-8949/79/05/055006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229348
dc.subjectQuantum Physics
dc.titleQuasiperiodic propagation in time of some classical/quantum systems: Nielsen's conserved quantity and Floquet properties
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