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Eigenstates ignoring regular and chaotic phase-space structures

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Hufnagel,  L.
Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Ketzmerick,  R.
Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Otto,  M. F.
Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Schanz,  H.
Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Hufnagel, L., Ketzmerick, R., Otto, M. F., & Schanz, H. (2002). Eigenstates ignoring regular and chaotic phase-space structures. Physical Review Letters, 89(15): 154101, pp. 154101-1-154101-4.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0029-1745-E
Abstract
We report the failure of the semiclassical eigenfunction hypothesis if regular classical transport coexists with chaotic dynamics. All eigenstates, instead of being restricted to either a regular island or the chaotic sea, ignore these classical phase-space structures. We argue that this is true even in the semiclassical limit for extended systems with transporting regular islands such as the standard map with accelerator modes.