Dispersion Estimates for Dirac Equations with Aharonov-Bohm Magnetic Fields

Explore the dispersive properties of a two-dimensional Dirac operator perturbed by a critical Aharonov-Bohm potential in this 41-minute conference talk from the Thematic Programme on "Nonlinear Waves and Relativity" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the analysis of the flow, which can be divided into a singular component and a dispersive part decaying similarly to the unperturbed case. Discover the sharp Strichartz estimates derived for the flow, based on joint work with Federico Cacciafesta, Zhiqing Yin, and Junyong Zhang. Gain insights into advanced mathematical concepts at the intersection of quantum mechanics and relativity theory.

Piero D'Ancona - Dispersion estimates for Dirac equations with Aharonov–Bohm magnetic fields