Non-relativistic quantum scattering from non-local separable potentials: the eigenchannel approach
Atomic Physics
2009-07-28 v2 Quantum Physics
Abstract
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.
Cite
@article{arxiv.physics/0501120,
title = {Non-relativistic quantum scattering from non-local separable potentials: the eigenchannel approach},
author = {Remigiusz Augusiak},
journal= {arXiv preprint arXiv:physics/0501120},
year = {2009}
}
Comments
10 pages, slightly improved version