most citedSpectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: Analysis near the bottom

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math.SP2008

Semiclassical analysis of Schrödinger operators with magnetic wells

Bernard Helffer, Yuri A. Kordyukov

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. W…

math.SP2008★ 5 cited

Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: Analysis near the bottom

B. Helffer, Y. A. Kordyukov

We consider a periodic magnetic Schrödinger operator , depending on the semiclassical parameter , on a noncompact Riemannian manifold such that $H^1(M, {\mathbb R})=0…