HAL : in2p3-00180881, version 1
 arXiv : 0710.3524
 Inverse scattering from mixed data
 (2007)
 We first consider the fixed-$l$ inverse scattering problem. We show that the zeros of the regular solution of the Schrödinger equation, $r_{n}(E)$, which are monotonic functions of the energy, determine a unique potential when the domain of energy is such that the $r_{n}(E)$'s range from zero to infinity. This suggests that the use of the mixed data of phase-shifts $\{\delta(l_0,k), k \geq k_0 \} \cup \{\delta(l,k_0), l \geq l_0 \}$, for which the zeros of the regular solution are monotonic in both domain and range from zero to infinity, offers the possibility of determining the potential in a unique way. This will be demonstrated in the JWKB approximation.
 Thème(s) : Mathématiques/Physique mathématiquePhysique/Physique mathématique
 Lien vers le texte intégral : http://fr.arXiv.org/abs/0710.3524
 in2p3-00180881, version 1 http://hal.in2p3.fr/in2p3-00180881 oai:hal.in2p3.fr:in2p3-00180881 Contributeur : Suzanne Robert <> Déposé pour le compte de : Monique Lassaut <> Soumis le : Lundi 22 Octobre 2007, 12:18:09 Dernière modification le : Lundi 22 Octobre 2007, 13:12:37