Inverse scattering at high energies for a classical particle in a long range force field

Jollivet, Alexandre

Type de document :

Pré-publication ou Document de travail

Titre :

Inverse scattering at high energies for a classical particle in a long range force field

Auteur(s) :

Jollivet, Alexandre [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]

Mot(s)-clé(s) en anglais :

Newton equation
Long range electromagnetic field
Inverse scattering at high energies

Discipline(s) HAL :

Mathématiques [math]/Physique mathématique [math-ph]

Résumé en anglais : [en]

We define scattering data for the Newton equation in an electromagnetic field $(-\nabla V,B)\in C^1(\R^n,\R^n)\times C^1(\R^n,A_n(\R))$, $n\ge 2$, that decay at infinity like $r^{-\alpha-1}$ for some $\alpha\in (0,1]$, ...
Lire la suite >We define scattering data for the Newton equation in an electromagnetic field $(-\nabla V,B)\in C^1(\R^n,\R^n)\times C^1(\R^n,A_n(\R))$, $n\ge 2$, that decay at infinity like $r^{-\alpha-1}$ for some $\alpha\in (0,1]$, where $A_n(\R)$ is the space of $n\times n$ antisymmetric matrices. We provide their high energies asymptotics and we prove, in particular, that the scattering data at high energies uniquely determine the short range part of $(\nabla V,B)$ up to the knowledge of the long range part of $(\nabla V,B)$. Other asymptotic regimes are also considered. This paper extends similar results for a short range force field [Jollivet, 2009] or for a long range electric (or gravitational) field [Jollivet, 2013].Lire moins >

Langue :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Fichiers

document
Accès libre
Accéder au document

snr5.pdf
Accès libre
Accéder au document

Inverse scattering at high energies for a ... BibTeX CSV Excel RIS

Fichiers

Inverse scattering at high energies for a ...

BibTeX

CSV

Excel

RIS