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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