3 papers
math.AP2023
Determining an Iwatsuka Hamiltonian by knowledge of its first band function
Mourad Choulli, Nour Kerraoui, Eric Soccorsi
We investigate the inverse problem of retrieving the magnetic potential of an Iwatsuka Hamiltonian through knowledge of its first band function. We prove that two magnetic potentia…
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…