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math.SP2023
Spectrum of the Dirac operator in shrinking tubes
Nour Kerraoui
In this paper we investigate the spectrum of the Dirac operator posed in a tubular neighborhood of a planar loop with infinite mass boundary conditions. We show that when thewidth…
math.SP2022
Spectral asymptotics for two-dimensional Dirac operators in thin waveguides
William Borrelli, Nour Kerraoui, Thomas Ourmières-Bonafos
We consider the two-dimensional Dirac operator with infinite mass boundary conditions posed in a tubular neighborhood of a -planar curve. Under generic assumptions on its curv…