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math.AP2025
Geometric spectral properties of electromagnetic waveguides
Philippe Briet, Maxence Cassier, Thomas Ourmières-Bonafos +1
Consider a reference homogeneous and isotropic electromagnetic waveguide with a simply connected cross-section embedded in a perfect conductor. In this setting, when the waveguide…
math.AP2019
Two-dimensional Dirac operators with singular interactions supported on closed curves
Jussi Behrndt, Markus Holzmann, Thomas Ourmières-Bonafos +1
We study the two-dimensional Dirac operator with an arbitrary combination of electrostatic and Lorentz scalar -interactions of constant strengths supported on a smooth closed cu…