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arXiv · 0807.2021

Canonical quantum potential scattering theory

M. S. Hussein·W. Li·S. Wuester
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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.

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M. S. Hussein, W. Li, S. Wuester. 2008-07-13. Canonical quantum potential scattering theory. https://doi.org/10.1088/1751-8113/41/47/475207

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