论文标题
大型弱开放量子图的散射共振
Scattering resonances of large weakly open quantum graphs
论文作者
论文摘要
在本文中，我们考虑了一系列开放量子图，具有统一的数据，我们对它们散射共振的渐近分布感兴趣。假设我们的量子图中的铅数量与边缘总数相比很少，我们表明大多数共振都接近真实轴。更确切地说，我们开放量子图的共振的渐近分布与通过删除所有铅获得的封闭量子图的特征值的平方根的渐近分布相同。
In this paper, we consider a sequence of open quantum graphs, with uniformly bounded data, and we are interested in the asymptotic distribution of their scattering resonances. Supposing that the number of leads in our quantum graphs is small compared to the total number of edges, we show that most resonances are close to the real axis. More precisely, the asymptotic distribution of resonances of our open quantum graphs is the same as the asymptotic distribution of the square-root of the eigenvalues of the closed quantum graphs obtained by removing all the leads.
