English

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

Mathematical Physics 2009-06-18 v1 math.MP Spectral Theory Quantum Physics

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.

Keywords

Cite

@article{arxiv.math-ph/0110034,
  title  = {Zero-energy resonances and the flux -across-surfaces theorem},
  author = {Gian Fausto Dell'Antonio and Gianluca Panati},
  journal= {arXiv preprint arXiv:math-ph/0110034},
  year   = {2009}
}

Comments

30 pages, no figures