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arxiv: math-ph/0110034 · v1 · submitted 2001-10-30 · 🧮 math-ph · math.MP· math.SP· quant-ph

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

classification 🧮 math-ph math.MPmath.SPquant-ph
keywords scatteringconjectureresonanceszero-energyacross-surfacesamplitudebecausecorner
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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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