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arXiv · 2303.14861

Scale Invariant Scattering in 2D

T. Curtright·C. Vignat
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Abstract

For a non-relativistic scale invariant system in two spatial dimensions, the quantum scattering amplitude $f(\theta)$ is given as a dispersion relation, with a simple closed form for ${\rm Im}(f(\theta)$) as well as the integrated cross-section $\sigma \propto {\rm Im}(f(\theta=0))$. For fixed $\theta \neq 0$, the classical limit is straightforward to obtain.

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T. Curtright, C. Vignat. 2023-03-27. Scale Invariant Scattering in 2D. https://arxiv.org/abs/2303.14861

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