Harmonic Analysis and Differential Equations Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- Altgeld Hall 145
- Date
- Feb 25, 2025 1:00 pm
- Speaker
- Amir Sagiv
- Contact
- Carrie Clark and Olivia Clifton
- carriec2@illinois.edu and ocannon2@illinois.edu
- Views
- 34
- Originating Calendar
- Harmonic Analysis and Differential Equations Seminar (HADES)
Speaker: Amir Sagiv (New Jersey Institute of Technology)
Title: Floquet Media and Nonautonomous Dirac equations
Abstract: Floquet media—materials altered by time-periodic forcing—naturally lead, via homogenization, to Dirac Hamiltonians that differ from those traditionally studied in quantum mechanics. A key question is whether Floquet edge modes persist in PDE models. Examining a 1D Dirac operator with a domain wall under periodic forcing reveals that such modes are only metastable, decaying due to resonance. This leads to a broader study of dispersive dynamics in Dirac Hamiltonians with a domain wall and, more generally, in nonautonomous Hamiltonians.
Based on joint work with Samhe Hameedi, Joseph Kraisler, and Michael Weinstein.