Geodesic
Semiclassical Analysis of the Largest Gap of Quasi-Periodic Schrödinger Operators
H. Krüger1
1 Department of Mathematics, Rice University, Houston, TX 77005, USA
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 4, pp. 256-268.

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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.
DOI : 10.1051/mmnp/20105411

H. Krüger 1

1 Department of Mathematics, Rice University, Houston, TX 77005, USA 
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H. Krüger. Semiclassical Analysis of the Largest Gap of Quasi-Periodic Schrödinger Operators. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 4, pp. 256-268. doi : 10.1051/mmnp/20105411. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105411/

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