Perturbative estimates on the transport cross section in quantum scattering by hard obstacles

Details Perturbative estimates on the transport cross section in quantum scattering by hard obstacles Perturbative estimates on the transport cross section in quantum scattering by hard obstacles

2006-05-14

arxiv.org/abs/math-ph/0605044v1

Physics

Mathematical Physics

10 pages, 1 figure

Scientific paper

The quantum scattering by smooth bodies is considered for small and large
values of $kd$, with $k$ the wavenumber and $d$ the scale of the body. In both
regimes, we prove that the forward scattering exceeds the backscattering. For
high $k$, we need to assume that the body is strictly convex.

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