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Zero-energy resonances and the flux -across-surfaces theorem

Gian Fausto Dell'Antonio, Gianluca Panati

math-pharXiv:math-ph/0110034

Abstract

The flux-across-surfaces conjecture represents a corner stone in quantum scattering theory because it is the key-assumption needed to prove the usual relation between differential cross section and scattering amplitude. We improve a recent result [TDMB] by proving the conjecture also in presence of zero-energy resonances or eigenvalues, both in point and potential scattering.

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