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

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

2008-06-22

arxiv.org/abs/0806.3564v2

Physica Scripta vol 79, p. 055006 (2009)

Physics

Quantum Physics

19 pages, 4 figures

Scientific paper

10.1088/0031-8949/79/05/055006

We 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.

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