量子图的费米黄金法则
A Fermi golden rule for quantum graphs
摘要：
我们提出了一个费米黄金法则，给出了通过扰动量子图的嵌入本征值得到的状态的衰变率。为了说明在一个名义上更简单的设置程序，我们还提出了一个费米黄金法则的常曲率尖点表面上的边值问题。我们还提供了一个共振存在的结果，这是一致的紧集的能量和度量图。数值实验结果说明了这一点。
英文摘要：
We present a Fermi golden rule giving rates of decay of states obtained by perturbing embedded eigenvalues of a quantum graph. To illustrate the procedure in a notationally simpler setting we also present a Fermi Golden Rule for boundary value problems on surfaces with constant curvature cusps. We also provide a resonance existence result which is uniform on compact sets of energies and metric graphs. The results are illustrated by numerical experiments.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
