离散 Schrodinger 方程于图上：分支量子晶格的有效模型
量子物理
2024-11-22 v1 介观与纳米尺度物理
摘要
我们提出了一种用于量化离散网络（具有离散边的图）的方法。我们引入了一个离散 Schrodinger 方程的新型精确解，用于构建量子图的解。presented the formulation of the problem and derivation of secular equation for arbitrary quantum graphs. Application of the approach for the star graph is demonstrated by obtaining eigenfunctions and eigenvalues explicitely. Practical application of the model in conducting polymers and branched molecular chains is discussed.
引用
@article{arxiv.2411.14397,
title = {Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice},
author = {M. Akramov and C. Trunk and J. Yusupov and D. Matrasulov},
journal= {arXiv preprint arXiv:2411.14397},
year = {2024}
}