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

Kramer, P. and Kramer, T. and Man'ko, V. I. (2009) Quasi-periodic propagation in time of some classical/quantum systems: Nielsen's conserved quantity and Floquet properties. PHYSICA SCRIPTA, 79 (5): 055006. ISSN 0031-8949,

Full text not available from this repository. (Request a copy)

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 quasi-periodic 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 quasi-periodically kicked oscillator, moreover, is dominated by quasi-periodic analogues of the Floquet theorem.

Item Type: Article
Uncontrolled Keywords: ;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Tobias Kramer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 17 Sep 2020 08:44
Last Modified: 17 Sep 2020 08:44
URI: https://pred.uni-regensburg.de/id/eprint/29093

Actions (login required)

View Item View Item