利用图的装饰产生谱隙
The Creation of Spectral Gaps by Graph Decoration
摘要：
我们提出了一种机制，用于创建的自伴运营商的频谱定义在一个图上的函数的希尔伯特空间，这是基于图装饰的过程中的间隙。由此产生的哈密顿算子可以被视为与离散模型相关联，表现出重复的局部结构和跳跃幅度中的某些瓶颈。
英文摘要：
We present a mechanism for the creation of gaps in the spectra of self-adjoint operators defined over a Hilbert space of functions on a graph, which is based on the process of graph decoration. The resulting Hamiltonians can be viewed as associated with discrete models exhibiting a repeated local structure and a certain bottleneck in the hopping amplitudes.
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。
