In this paper, we analyze quantum diffusion across a reconnecting zone in a
regime of strong chaos. Quantum systems with chaotic classical counterpart
show localized eigenstates even in the absence of classical regular struct
ures. Localization can be related to invariant classical structures in phas
e space. in this paper we show confined quantum eigenfunctions by classical
twistless curves. This feature is illustrated using a nonmonotonic standar
d mop. (C) 2001 Elsevier Science B.V. All rights reserved.