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The Dirac evolution equation in the presence of an electromagnetic wave
1994
We consider the Diiac evolution equation in presence of a time dependent electromagnetic potential which is a solution of the homogenous wave equation with tegular and compactly supported initial data. We prove a propagation property for the free Dirac Hamiltonian using the explicit form of the free propagator that we use together with an energy estimation and the finite propagation speed of the Dirac evolution we prove existence and unitarity of the wave operators associated to the couple of
doi:10.5169/seals-116645
fatcat:6x4qgjnejrfrjexb5nu54l76qa