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The quantum probability flux of a particle integrated over time and a distant surface gives theprobability for the particle crossing that surface at some time. The relation between these crossingprobabilities and the usual formula for the scattering cross section is provided by the flux-acrosssurfacestheorem, which was conjectured by Combes, Newton and Shtokhamer.1We prove the fluxacross-surfaces theorem for short range potentials and wave functions without energy cutoffs. Theproof is...

The flux-across-surfaces theorem for short range potentials and wave functions without energy cutoffs