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Singular Continuous Quasi-Energy Spectrum in the Kicked Rotator with Separable Perturbation: Onset of Quantum Chaos?

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Order,Disorder and Chaos in Quantum Systems

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 46))

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Abstract

We prove that the quasi-energy spectrum of the kicked quantum rotator model with a separable potential which has been recently introduced by M.Combescure is singularly continuous under certain conditions. The time evolution of this system is numerically investigated in detail.

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© 1990 Birkhäuser Verlag Basel

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Milek, B., Šeba, P. (1990). Singular Continuous Quasi-Energy Spectrum in the Kicked Rotator with Separable Perturbation: Onset of Quantum Chaos?. In: Exner, P., Neidhardt, H. (eds) Order,Disorder and Chaos in Quantum Systems. Operator Theory: Advances and Applications, vol 46. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7306-2_27

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  • DOI: https://doi.org/10.1007/978-3-0348-7306-2_27

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7308-6

  • Online ISBN: 978-3-0348-7306-2

  • eBook Packages: Springer Book Archive

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