Inverse Scattering Problem for the Schr\"odinger Operator with a Separable Potential
Chuburin, Yu. P.
arXiv, 0502032 / Harvested from arXiv
Text on arXiv
We prove that the inverse scattering problem for the Schr\"odinger operator with the separable potential can be reduced to the solving of a certain singular integral equation. We establish the uniqueness of the potential corresponding to given scattering amplitude in the class of separable potentials.
Publié le : 2005-02-09
Classification:  Mathematical Physics,  35P25 
@article{0502032,
     author = {Chuburin, Yu. P.},
     title = {Inverse Scattering Problem for the Schr\"odinger Operator with a
  Separable Potential},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0502032}
}

Chuburin, Yu. P. Inverse Scattering Problem for the Schr\"odinger Operator with a
  Separable Potential. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0502032/