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Illustration of the failure of the semiclassical eigenfunction hypothesis, a cornerstone of quantum-chaos theory, for a spatially periodic, kicked Hamiltonian. The quantum eigenstate (red) ignores the classical phase-space structures of regular islands in a chaotic sea when the dynamics is such that the island chain is traversed sequentially in time.

From the article:

Eigenstates Ignoring Regular and Chaotic Phase-Space Structures
Lars Hufnagel, Roland Ketzmerick, Marc-Felix Otto, and Holger Schanz
Phys. Rev. Lett. 89, 154101 (2002)

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