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Spectral Asymptotics of a Singular Harmonic Oscillator with Aharonov--Bohm Flux
Bernard Helffer, Ayman Kachmar, François Nicoleau
Motivated by a recent article of R. Vanlaere (2026), we investigate the spectral asymptotics of a singular harmonic oscillator arising from the radial reduction of the magnetic Sch…
Bound states for the magnetic Neumann Laplacian in planar sectors
Ayman Kachmar, Mikael Sundqvist
We study the magnetic Neumann Laplacian in an infinite planar sector of opening under a constant magnetic field. Building on earlier work by Bonnaillie-Noël and collabo…
High Flux Asymptotics and Critical Phenomena for the Magnetic Laplacian
Emanuela L. Giacomelli, Ayman Kachmar, Mikael Sundqvist
We study the lowest eigenvalue of the Neumann magnetic Laplacian in a planar domain divided into two regions, with piecewise constant magnetic fields that may scale differently in…