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

Mathematical Modelling of Natural Phenomena (2010)

- Volume: 5, Issue: 4, page 158-174
- ISSN: 0973-5348

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topGan, Z.. "An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups." Mathematical Modelling of Natural Phenomena 5.4 (2010): 158-174. <http://eudml.org/doc/197717>.

@article{Gan2010,

abstract = {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.},

author = {Gan, Z.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {profinite group; limit-periodic potential; Schrödinger operator},

language = {eng},

month = {5},

number = {4},

pages = {158-174},

publisher = {EDP Sciences},

title = {An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups},

url = {http://eudml.org/doc/197717},

volume = {5},

year = {2010},

}

TY - JOUR

AU - Gan, Z.

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

JO - Mathematical Modelling of Natural Phenomena

DA - 2010/5//

PB - EDP Sciences

VL - 5

IS - 4

SP - 158

EP - 174

AB - 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.

LA - eng

KW - profinite group; limit-periodic potential; Schrödinger operator

UR - http://eudml.org/doc/197717

ER -

## References

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