5 citations · 35 across the 33 of their papers we have counts for
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math.SP2006★ 1 cited
Nodal domains and spectral minimal partitions
B. Helffer, T. Hoffmann-Ostenhof, S. Terracini
We consider two-dimensional Schrödinger operators in bounded domains. We analyze relations between nodal domains of eigenfunctions, spectral minimal partitions and spectral propert…
math.SP2006
Semiclassical asymptotics and gaps in the spectra of periodic Schrödinger operators with magnetic wells
Bernard Helffer, Yuri A. Kordyukov
We show that, under some very weak assumption of effective variation for the magnetic field, a periodic Schrödinger operator with magnetic wells on a noncompact Riemannian manifold…