Propagation of singularities in many-body scattering in the presence of bound states
| dc.creator | Vasy, Andras | |
| dc.date | 1999-10-06 | |
| dc.date.accessioned | 2026-07-07T05:31:04Z | |
| dc.date.available | 2026-07-07T05:31:04Z | |
| dc.description | We describe the propagation of singularities of tempered distributional generalized eigenfunctions of many-body Hamiltonians at non-threshold energies under the assumption that the inter-particle interactions are real-valued polyhomogeneous symbols of order -1 (e.g. Coulomb-type, but without the singularity at the origin). Here the term `singularity' refers to a microlocal description of the lack of decay at infinity. We use this result to describe the wave front relation of the S-matrices. We also analyze Lagrangian properties of this relation, which shows that the relation is not `too large' in terms of its dimension. | |
| dc.description | 68 pages; AMS Latex | |
| dc.identifier | https://arxiv.org/abs/math/9910033 | |
| dc.identifier | http://arxiv.org/abs/math/9910033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79210 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35P25 (Primary) 47A40, 58G25, 81U10 (Secondary) | |
| dc.title | Propagation of singularities in many-body scattering in the presence of bound states | |
| dc.type | text |