Eigenstates Ignoring Regular and Chaotic Phase-Space Structures

Details Eigenstates Ignoring Regular and Chaotic Phase-Space Structures Eigenstates Ignoring Regular and Chaotic Phase-Space Structures

2002-04-26

arxiv.org/abs/nlin/0204064v1

Phys. Rev. Lett. 89 (2002) 154101

Nonlinear Sciences

Chaotic Dynamics

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Scientific paper

10.1103/PhysRevLett.89.154101

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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