Classical scattering at low energies
| dc.creator | Derezinski, J. | |
| dc.creator | Skibsted, E. | |
| dc.date | 2006-04-18 | |
| dc.date.accessioned | 2026-07-07T07:10:20Z | |
| dc.date.available | 2026-07-07T07:10:20Z | |
| dc.description | For a class of negative slowly decaying potentials including the attractive Coulombic one we study the classical scattering theory in the low-energy regime. We construct a (continuous) family of classical orbits parametrized by initial position $x\in \R^d$, final direction $ω\in S^{d-1}$ of escape (to infinity) and the energy $λ\geq 0$, yielding a complete classification of the set of outgoing scattering orbits. The construction is given in the outgoing part of phase-space (a similar construction may be done in the incoming part of phase-space). For fixed $ω\in S^{d-1}$ and $λ\geq 0$ the collection of constructed orbits constitutes a smooth manifold that we show is Lagrangian. The family of those Lagrangians can be used to study the quantum mechanical scattering theory in the low-energy regime for the class of potentials considered here. We devote this study to a subsequent paper. | |
| dc.description | 1 figure | |
| dc.identifier | https://arxiv.org/abs/math-ph/0604042 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0604042 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111391 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 70F05 | |
| dc.title | Classical scattering at low energies | |
| dc.type | text |