Orateur
Léa Mazzouza
Description
I will be presenting a theorem on the spectral analysis of the Dirac operator with infinite mass boundary conditions in thin planar domains. The main objective is to understand how the geometry of the domain shrinking influences the energy levels and localization properties of the eigenmodes. Using tools from pseudo-differential calculus and semiclassical analysis, we derive asymptotic expansions for the eigenvalues and eigenfunctions in the thin-domain regime. The results reveal the influence of the geometry in shaping the spectral behavior of the operator in the semiclassical limit.