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

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

2001-10-30

arxiv.org/abs/math-ph/0110034v1

extended version of the paper: J. Stat. Phys. 116, Nos. 1, 1161-1179 (2004).

Physics

Mathematical Physics

30 pages, no figures

Scientific paper

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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