An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups
نویسنده
چکیده
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 Schrödinger operators obtained in this context.
منابع مشابه
Partial Action of Groups on Relational Structures : a Connection between Model Theory and Profinite Topology
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