Physics – Mathematical Physics
Scientific paper
2002-07-05
Physics
Mathematical Physics
Scientific paper
10.1063/1.1528276
We consider the asymptotic evolution of a relativistic spin-1/2-particle. i.e. a particle whose wavefunction satisfies the Dirac equation with external static potential. We prove that the probability for the particle crossing a (detector) surface converges to the probability, that the direction of the momentum of the particle lies within the solid angle defined by the (detector) surface, as the distance of the surface goes to infinity. This generalizes earlier non relativistic results, known as flux across surfaces theorems, to the relativistic regime.
Duerr Detlef
Pickl Peter
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