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

作者：Gan Z^*

来源：Mathematical Modelling of Natural Phenomena, 2010, 5(4): 158-174.

DOI：10.1051/mmnp/20105407

• profinite group
• limit-periodic potential
• Schrodinger operator

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 Schrodinger operators obtained in this context.

• 出版日期2010