Periodic Manifolds, Spectral Gaps, and Eigenvalues in Gaps
نویسندگان
چکیده
منابع مشابه
ar X iv : 0 81 2 . 50 38 v 1 [ m at h . SP ] 3 0 D ec 2 00 8 SEMICLASSICAL ANALYSIS OF SCHRÖDINGER OPERATORS WITH MAGNETIC WELLS
We give a survey of some results, mainly obtained by the authors and their collaborators, on spectral properties of the magnetic Schrödinger operators in the semiclassical limit. We focus our discussion on asymptotic behavior of the individual eigenvalues for operators on closed manifolds and existence of gaps in intervals close to the bottom of the spectrum of periodic operators.
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