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We report the failure of the semiclassical eigenfunction hypothesis ifregular 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 evenin the semiclassical limit for extended systems with transporting regularislands such as the standard map with accelerator modes.Comment: color figure

Eigenstates Ignoring Regular and Chaotic Phase-Space Structures