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arXiv · 0806.3564

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

Peter Kramer·Tobias Kramer·Vladimir I. Man'ko
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Abstract

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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Peter Kramer, Tobias Kramer, Vladimir I. Man'ko. 2008-10-19. Quasiperiodic propagation in time of some classical/quantum systems: Nielsen's conserved quantity and Floquet properties. https://doi.org/10.1088/0031-8949%2F79%2F05%2F055006

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