论文标题
关于定期雅各比矩阵在树上的评论
Remarks on Periodic Jacobi Matrices on Trees
论文作者
论文摘要
我们查看树木上的定期雅各比矩阵。我们在类似于laplacian的频谱上的上半平面与双曲线度量的laplacian频谱中类似于众所周知的差距的此类操作员的间隙上提供上限和下限。我们对抗流状态做出了一些猜想，并对[3]所谓的RG模型做出了一个有趣的观察。
We look at periodic Jacobi matrices on trees. We provide upper and lower bounds on the gap of such operators analogous to the well known gap in the spectrum of the Laplacian on the upper half-plane with hyperbolic metric. We make some conjectures about antibound states and make an interesting observation for what [3] calls the rg-model.
