Non-relativistic quantum scattering from non-local separable potentials: the eigenchannel approach

Details Non-relativistic quantum scattering from non-local separable potentials: the eigenchannel approach Non-relativistic quantum scattering from non-local separable potentials: the eigenchannel approach

2005-01-21

arxiv.org/abs/physics/0501120v2

Ann. Phys. (Leipzig) 14, 398-407 (2005)

Physics

Atomic Physics

10 pages, slightly improved version

Scientific paper

10.1002/andp.200510139

A recently formulated version of the eigenchannel method [R. Szmytkowski, Ann. Phys. (N.Y.) {\bf 311}, 503 (2004)] is applied to quantum scattering of Schr\"odinger particles from non-local separable potentials. Eigenchannel vectors and negative cotangents of eigenphase-shifts are introduced as eigensolutions to some weighted matrix spectral problem, without a necessity of prior construction and diagonalization of the scattering matrix. Explicit expressions for the scattering amplitude, the total cross section in terms of the eigenchannel vectors and the eigenphase-shifts are derived. An illustrative example is provided.

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