publiée le 7 juillet 2026
Boundary conditions and non kinematic free boundaries for wave-structure interactions
De David Lannes
Apparaît dans la collection : Spectral Analysis for Quantum Hamiltonians / Analyse Spectrale pour des Hamiltoniens Quantiques
The spectral properties of a singularly perturbed self-adjoint Landau Hamiltonian in the plane with a delta-potential supported on a finite curve are studied. After a general discussion of the qualitative spectral properties of the perturbed Landau Hamiltonian and its resolvent, one of our main objectives is a local spectral analysis near the Landau levels. This talk is based on joint works with P. Exner, M. Holzmann, V. Lotoreichik, and G. Raikov.