Eigenvalue asymptotics for the Schrödinger operator with perturbed periodic potential.
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Displaying similar documents to “The spectrum band structure of the three-dimensional Schrödinger operator with periodic potential.”
Eigenvalue asymptotics for the Schrödinger operator with perturbed periodic potential.
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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.
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