39 citations · 217 across the 17 of their papers we have counts for
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math.SP2016★ 16 cited
Discrete spectrum of interactions concentrated near conical surfaces
Thomas Ourmières-Bonafos, Konstantin Pankrashkin
We study the spectrum of two kinds of operators involving a conical geometry: the Dirichlet Laplacian in conical layers and Schrödinger operators with attractive -interactions s…
math.SP2016
Spectral transitions for Aharonov-Bohm Laplacians on conical layers
David Krejcirik, Vladimir Lotoreichik, Thomas Ourmières-Bonafos
We consider the Laplace operator in a tubular neighbourhood of a conical surface of revolution, subject to an Aharonov-Bohm magnetic field supported on the axis of symmetry and Dir…