Seminario Geometría
Faber-Krahn inequalities for the energies of electrons in quantum dots
Ponente: Joaquim Duran (CRM Barcelona)Fecha: miércoles 12 de noviembre de 2025 - 11:45Lugar: Aula Naranja, ICMAT
Resumen:
This work addresses Faber-Krahn type inequalities for quantum dot Dirac operators with nonnegative mass on domains in R^2. We show that this family of inequalities is equivalent to a family of Faber-Krahn type inequalities for ∂-Robin Laplacians. Thanks to this, we prove them in the case of simply connected domains for quantum dot boundary conditions asymptotically close to zigzag boundary conditions.
