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The flux-across-surfaces theorem (FAST) describes the outgoing asymptotics ofthe quantum flux density of a scattering state. The FAST has been proven forpotential scattering under conditions on the outgoing asymptote$\psi_{\text{out}}$ (and of course under suitable conditions on the scatteringpotential). In this article we prove the FAST under conditions on thescattering state itself. In the proof we will establish also new mappingproperties of the wave operators.Comment: 21 pages, 1 figur

The flux-across-surfaces theorem under conditions on the scattering state