Quasiperiodic propagation in time of some classical/quantum systems: Nielsen's conserved quantity and Floquet properties
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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.
19 pages, 4 figures
19 pages, 4 figures