Semiclassical analysis of Schrödinger operators with magnetic wells

Details Semiclassical analysis of Schrödinger operators with magnetic wells Semiclassical analysis of Schrödinger operators with magnetic wells

2008-12-30

arxiv.org/abs/0812.5038v1

Mathematics

Spectral Theory

17 pages, 2 figures

Scientific paper

We give a survey of some results, mainly obtained by the authors and their
collaborators, on spectral properties of the magnetic Schr\"odinger 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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