Elastic Scattering of Point Particles With Nearly Equal Masses
Mathematical Physics
2011-09-29 v1 math.MP
Abstract
We show that for n billiard particles on the line there exist three open sets in the product of phase space and the space of their masses, such that these particles exhibit exactly n-1, n over 2 respectively n+1 over 3 collisions. These open sets intersect any neighborhood of the diagonal in mass space.
Keywords
Cite
@article{arxiv.1109.6242,
title = {Elastic Scattering of Point Particles With Nearly Equal Masses},
author = {Andreas Knauf and Markus Stepan},
journal= {arXiv preprint arXiv:1109.6242},
year = {2011}
}
Comments
9 pages, 1 figure