# 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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