Canonical quantum potential scattering theory
Quantum Physics
2009-11-13 v1 Nuclear Theory
Abstract
A new formulation of potential scattering in quantum mechanics is developed using a close structural analogy between partial waves and the classical dynamics of many non-interacting fields. Using a canonical formalism we find non-linear first-order differential equations for the low energy scattering parameters like scattering length and effective range. They significantly simplify typical calculations, as we illustrate for atom-atom and neutron-nucleus scattering systems. A generalization to charged particle scattering is also possible.
Cite
@article{arxiv.0807.2021,
title = {Canonical quantum potential scattering theory},
author = {M. S. Hussein and W. Li and S. Wuester},
journal= {arXiv preprint arXiv:0807.2021},
year = {2009}
}
Comments
13 pages, 2 figures