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math.SP2023
Spectral asymptotics of the Dirac operator in a thin shell
Vladimir Lotoreichik, Thomas Ourmières-Bonafos
We investigate the spectrum of the Dirac operator with infinite mass boundary conditions posed in a tubular neighborhood of a smooth compact hypersurface in without…
math.SP2018
A sharp upper bound on the spectral gap for graphene quantum dots
Vladimir Lotoreichik, Thomas Ourmières-Bonafos
The main result of this paper is a sharp upper bound on the first positive eigenvalue of Dirac operators in two dimensional simply connected -domains with infinite mass bounda…
math.SP2018
Effective operators for Robin eigenvalues in domains with corners
Magda Khalile, Thomas Ourmières-Bonafos, Konstantin Pankrashkin
We study the eigenvalues of the Laplacian with a strong attractive Robin boundary condition in curvilinear polygons. It was known from previous works that the asymptotics of severa…