%0 Journal Article
%T On the spectrum of narrow Neumann waveguide with periodically distributed $¦Ä'$ traps
%A Pavel Exner
%A Andrii Khrabustovskyi
%J Mathematics
%D 2014
%I arXiv
%X We analyze a family of singular Schr\"odinger operators describing a Neumann waveguide with a periodic array of singular traps of a $\delta'$ type. We show that in the limit when perpendicular size of the guide tends to zero and the $\delta'$ interactions are appropriately scaled, the first spectral gap is determined exclusively by geometric properties of the traps.
%U http://arxiv.org/abs/1405.1367v1