5 citations · 22 across the 17 of their papers we have counts for
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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…
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…
Bulk superconductivity in Type II superconductors near the second critical field
S. Fournais, B. Helffer
We consider superconductors of Type II near the transition from the 'bulk superconducting' to the 'surface superconducting' state. We prove a new estimate on the order…
Semiclassical reduction for magnetic Schroedinger operator with periodic zero-range potentials and applications
Bernard Helffer, Konstantin Pankrashkin
The two-dimensional Schroedinger operator with a uniform magnetic field and a periodic zero-range potential is considered. For weak magnetic fields we reduce the spectral problem t…
Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells
Bernard Helffer, Yuri A. Kordyukov
We consider a periodic magnetic Schrödinger operator on a noncompact Riemannian manifold such that $H^1(M, \RR)=0$ endowed with a properly discontinuous cocompact isometric act…