Inverse Scattering Problem for the Schrödinger Operator with a Separable Potential

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We prove that the inverse scattering problem for the Schrödinger 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.
9 pages, LaTeX2e

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Mathematical Physics, 35P25

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http://salesiana.dossiersoluciones.com/handle/123456789/57982

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0502032
 http://arxiv.org/abs/math-ph/0502032

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arXiv