An inverse scattering problem for short-range systems in a time-periodic electric field
| dc.creator | Nicoleau, François | |
| dc.date | 2005-06-20 | |
| dc.date.accessioned | 2026-07-07T04:32:10Z | |
| dc.date.available | 2026-07-07T04:32:10Z | |
| dc.description | We consider the time-dependent Hamiltonian $H(t)= {1 \over 2} p^2 -E(t) \cdot x + V(t,x)$ on $L^2(R^n)$, where the external electric field $E(t)$ and the short-range electric potential $V(t,x)$ are time-periodic with the same period. It is well-known that the short-range notion depends on the mean value $E\_0$ of the external field. When $E\_0=0$, we show that the high energy limit of the scattering operators determines uniquely $V(t,x)$. In the other case, the same result holds in dimension $n \geq 3$ for generic sghort-range potentials. In dimension 2, one has to assume a stronger decay on the electric potential. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0506049 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0506049 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58092 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81U40 | |
| dc.title | An inverse scattering problem for short-range systems in a time-periodic electric field | |
| dc.type | text |