Canonical quantum potential scattering theory

Details Canonical quantum potential scattering theory Canonical quantum potential scattering theory

2008-07-13

arxiv.org/abs/0807.2021v1

J. Phys. A: Math. and Theor., 41, 475207 (2008)

Physics

Quantum Physics

13 pages, 2 figures

Scientific paper

10.1088/1751-8113/41/47/475207

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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