Semiclassical Analysis of the Largest Gap of Quasi-Periodic Schrödinger Operators
Mathematical Modelling of Natural Phenomena (2010)
- Volume: 5, Issue: 4, page 256-268
- ISSN: 0973-5348
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topKrüger, H.. "Semiclassical Analysis of the Largest Gap of Quasi-Periodic Schrödinger Operators." Mathematical Modelling of Natural Phenomena 5.4 (2010): 256-268. <http://eudml.org/doc/197639>.
@article{Krüger2010,
abstract = {In this note, I wish to describe the first order semiclassical approximation to the
spectrum of one frequency quasi-periodic operators. In the case of a sampling function
with two critical points, the spectrum exhibits two gaps in the leading order
approximation. Furthermore, I will give an example of a two frequency quasi-periodic
operator, which has no gaps in the leading order of the semiclassical approximation.},
author = {Krüger, H.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {gaps in the spectrum; Schrödinger operators; semiclassical analysis},
language = {eng},
month = {5},
number = {4},
pages = {256-268},
publisher = {EDP Sciences},
title = {Semiclassical Analysis of the Largest Gap of Quasi-Periodic Schrödinger Operators},
url = {http://eudml.org/doc/197639},
volume = {5},
year = {2010},
}
TY - JOUR
AU - Krüger, H.
TI - Semiclassical Analysis of the Largest Gap of Quasi-Periodic Schrödinger Operators
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/5//
PB - EDP Sciences
VL - 5
IS - 4
SP - 256
EP - 268
AB - In this note, I wish to describe the first order semiclassical approximation to the
spectrum of one frequency quasi-periodic operators. In the case of a sampling function
with two critical points, the spectrum exhibits two gaps in the leading order
approximation. Furthermore, I will give an example of a two frequency quasi-periodic
operator, which has no gaps in the leading order of the semiclassical approximation.
LA - eng
KW - gaps in the spectrum; Schrödinger operators; semiclassical analysis
UR - http://eudml.org/doc/197639
ER -
References
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