3 citations · 3 across the 7 of their papers we have counts for
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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…
Flux effects on Magnetic Laplace and Steklov eigenvalues in the exterior of a disk
Bernard Helffer, Ayman Kachmar, François Nicoleau
We derive a three-term asymptotic expansion for the lowest eigenvalue of the magnetic Laplace and Steklov operators in the exterior of the unit disk in the strong magnetic field li…
Scattering matrices for dissipative quantum systems
Jérémy Faupin, Francois Nicoleau
We consider a quantum system S interacting with another system S and susceptible of being absorbed by S. The effective, dissipative dynamics of S is supposed to be generated by an…
A new Levinson's theorem for potentials with critical decay
Xiaoyao Jia, François Nicoleau, Xue Ping Wang
We study the low-energy asymptotics of the spectral shift function for Schrödinger operators with potentials decaying like . We prove a generalized Levinson's f…