An inverse scattering problem for the Schrödinger equation in a semiclassical process
| dc.creator | Nicoleau, François | |
| dc.date | 2005-12-12 | |
| dc.date.accessioned | 2026-07-07T06:54:37Z | |
| dc.date.available | 2026-07-07T06:54:37Z | |
| dc.description | We study an inverse scattering problem for a pair of Hamiltonians $(H(h), H\_0 (h))$ on $L^2 (\r^n)$, where $H\_0 (h) = -h^2 Δ$ and $H (h)= H\_0 (h) +V$, $V$ is a short-range potential with a regular behaviour at infinity and $h$ is the semiclassical parameter. We show that, in dimension $n \geq 3$, the knowledge of the scattering operators $S(h)$, $h \in ]0, 1]$, up to $O(h^\infty)$ in ${\cal{B}} (L^2(\r^n))$, and which are localized near a fixed energy $λ>0$, determine the potential $V$ at infinity. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0512034 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0512034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106003 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81U40 | |
| dc.title | An inverse scattering problem for the Schrödinger equation in a semiclassical process | |
| dc.type | text |