Propagation of singularities in many-body scattering
| dc.creator | Vasy, Andras | |
| dc.date | 1999-06-24 | |
| dc.date.accessioned | 2026-07-07T05:29:38Z | |
| dc.date.available | 2026-07-07T05:29:38Z | |
| dc.description | In this paper we describe the propagation of singularities of tempered distributional generalized eigenfunctions of many-body Hamiltonians under the assumption that no subsystem has a bound state and that the two-body interactions are real-valued polyhomogeneous symbols of order -1 (e.g. Coulomb-type with the singularity at the origin removed). Here the term 'singularity' provides a microlocal description of the lack of decay at infinity. We use this result to prove that the wave front relation of the free-to-free S-matrix (which, under our assumptions, is all of the S-matrix) is given by the broken geodesic relation, broken at the 'singular directions' (given by the collision planes) on the sphere, at time pi. We also present a natural geometric generalization to asymptotically Euclidean spaces. | |
| dc.description | 80 pages, 3 figures; submitted for publication | |
| dc.identifier | https://arxiv.org/abs/math/9906161 | |
| dc.identifier | http://arxiv.org/abs/math/9906161 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78713 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35P25 (Primary) 58G25, 81U10 (Secondary) | |
| dc.title | Propagation of singularities in many-body scattering | |
| dc.type | text |