Virial Identity and Dispersive Estimates for the $n$-Dimensional Dirac Equation

J. Math. Sci. Univ. Tokyo
Vol. 18 (2011), No. 4, Page 441--463.

Cacciafesta, Federico
Virial Identity and Dispersive Estimates for the $n$-Dimensional Dirac Equation
We extend to general dimension $n\ge1$ the virial identity proved in \cite{BoussaidDAnconaFanelli11-a} for the 3D magnetic Dirac equation. As an application we deduce Strichartz estimates for an $n$-dimensional Dirac equation perturbed with a magnetic potential.