Eigenstates Ignoring Regular and Chaotic Phase-Space Structures
  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. 
Lars Hufnagel, Roland Ketzmerick, Marc-Felix Otto and Holger Schanz