An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups

Details An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups

2010-01-11

arxiv.org/abs/1001.1748v4

Mathematics

Spectral Theory

Scientific paper

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.

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