Inverse scattering on the line with incomplete scattering data
| dc.creator | Aktosun, Tuncay | |
| dc.date | 2004-02-10 | |
| dc.date.accessioned | 2026-07-07T06:29:30Z | |
| dc.date.available | 2026-07-07T06:29:30Z | |
| dc.description | The Schroedinger equation is considered on the line when the potential is real valued, compactly supported, and square integrable. The nonuniqueness is analyzed in the recovery of such a potential from the data consisting of the ratio of a corresponding reflection coefficient to the transmission coefficient. It is shown that there are a discrete number of potentials corresponding to the data and that their L^2-norms are related to each other in a simple manner. All those potentials are identified, and it is shown how an additional estimate on the L^2-norm in the data can uniquely identify the corresponding potential. The recovery is illustrated with some explicit examples. | |
| dc.description | 11 pages, to appear in Contemporary Mathematics | |
| dc.identifier | https://arxiv.org/abs/math-ph/0402021 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0402021 | |
| dc.identifier | Contemporary Math. vol 362, AMS, Providence, 2004, pp. 1-11 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98053 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 34A55; 81U40; 34L25; 34L40; 47A40; 8105 | |
| dc.title | Inverse scattering on the line with incomplete scattering data | |
| dc.type | text |