极限周期势与投射有限群的关系
An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups
摘要：
对不同极限周期势的壳进行了分类，证明了极限周期势的壳是一个原循环群。我们描述了如何从一个procyclic群的极限周期的潜力，并回答所产生的问题。作为一个过渡性的文章，我们尽可能完整地讨论了极限周期势和投射有限群之间的联系，并回顾了在这一背景下得到的关于Schroedinger算子的一些最新结果。
英文摘要：
We classify the hulls of different limit-periodic potentials and show that the hull of a limit-periodic potential is a procyclic group. We describe how limit-periodic potentials can be generated from a procyclic group and answer arising questions. As an expository paper, we discuss the connection between limit-periodic potentials and profinite groups as completely as possible and review some recent results on Schroedinger operators obtained in this context.
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。
