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Dispersive estimates for Dirac operators in dimension three with obstructions at threshold energies

Dispersive estimates for Dirac operators in dimension three with obstructions at threshold energies

We investigate $L^1\to L^\infty$ dispersive estimates for the three dimensional Dirac equation with a potential. We also classify the structure of obstructions at the thresholds of the essential spectrum as being composed of a two dimensional space of resonances and finitely many eigenfunctions. We show that, as in the case …