The inverse scattering problem at fixed energy for the three-dimensional Schrödinger equation with an exponentially decreasing potential

Roman G. Novikov

doi:10.1007/BF02101933

The inverse scattering problem at fixed energy for the three-dimensional Schrödinger equation with an exponentially decreasing potential

Roman G. Novikov

Université de Nantes
IEPT RAS

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

The relations between the Faddeev functions and the functions of classical scattering theory are found in the complex domain at fixed energy. For the three-dimensional case (without assumption of "smallness" of the potential) it is proved that the exponentially decreasing potential is uniquely determined by its scattering amplitude at fixed energy.

langue originale	Anglais
Pages (de - à)	569-595
Nombre de pages	27
journal	Communications in Mathematical Physics
Volume	161
Numéro de publication	3
Les DOIs	https://doi.org/10.1007/BF02101933
état	Publié - 1 avr. 1994
Modification externe	Oui

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10.1007/BF02101933

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AB - The relations between the Faddeev functions and the functions of classical scattering theory are found in the complex domain at fixed energy. For the three-dimensional case (without assumption of "smallness" of the potential) it is proved that the exponentially decreasing potential is uniquely determined by its scattering amplitude at fixed energy.

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JO - Communications in Mathematical Physics

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The inverse scattering problem at fixed energy for the three-dimensional Schrödinger equation with an exponentially decreasing potential

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