Abstract
Classical scattering trajectories are known to form a Lagrangian manifold in euclidean phase space, which allows the classification of local focal points for sufficiently small dimensions. For the case of a short-range potential, we show that the natural description of focal points at infinity is a Lagrangian manifold in the cotangent bundle of the sphere and establish the relationship between focal points at infinity and the projection singularities of that manifold.
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Hohberger, H., Klein, M. Focal Points at Infinity for Short-Range Scattering Trajectories. J. Shanghai Jiaotong Univ. (Sci.) 23, 146–157 (2018). https://doi.org/10.1007/s12204-018-1920-2
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DOI: https://doi.org/10.1007/s12204-018-1920-2