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Eigenstates Ignoring Regular and Chaotic Phase-Space Structures

Lars Hufnagel·Roland Ketzmerick·Marc-Felix Otto·Holger Schanz
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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.

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Lars Hufnagel, Roland Ketzmerick, Marc-Felix Otto, Holger Schanz. 2002-04-26. Eigenstates Ignoring Regular and Chaotic Phase-Space Structures. https://doi.org/10.1103/physrevlett.89.154101

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