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Phys. Rev. Lett. 89, 154101 (2002) [4 pages]

Eigenstates Ignoring Regular and Chaotic Phase-Space Structures

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Lars Hufnagel, Roland Ketzmerick, Marc-Felix Otto, and Holger Schanz
Max-Planck-Institut für Strömungsforschung und Institut für Nichtlineare Dynamik der Universität Göttingen, Bunsenstraße 10, D-37073 Göttingen, Germany

Received 26 April 2002; published 18 September 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.154101
DOI:
10.1103/PhysRevLett.89.154101
PACS:
05.45.Mt, 03.65.Sq, 05.60.–k