标题： 从狄拉克网络挤压得到的非平凡边耦合：弯曲波导的情形 显示英文标题

标题： Nontrivial edge coupling from a Dirichlet network squeezing: the case of a bent waveguide

摘要： 与诺依曼情形不同，狄利克雷网络的挤压极限在阈值区域通常会导致具有不连通边的量子图，阈值共振可能来自例外情况。 本文的主要目的是表明通过局部修改几何结构，我们可以在极限情况下实现边之间的非平凡耦合，包括特别是$\delta$-型边界条件的类。 我们在最简单的情况下验证了这一论断，即当弯曲波导被挤压时。 显示英文摘要

摘要： In distinction to the Neumann case the squeezing limit of a Dirichlet network leads in the threshold region generically to a quantum graph with disconnected edges, exceptions may come from threshold resonances. Our main point in this paper is to show that modifying locally the geometry we can achieve in the limit a nontrivial coupling between the edges including, in particular, the class of $\delta$-type boundary conditions. We work out an illustration of this claim in the simplest case when a bent waveguide is squeezed.