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The inverse scattering problem at fixed energy based on the Marchenko equation for an auxiliary Sturm-Liouville operator

Pálmai, Tamás Vencel and Apagyi, Barnabás (2013) The inverse scattering problem at fixed energy based on the Marchenko equation for an auxiliary Sturm-Liouville operator. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 46 (4). ISSN 1751-8113

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Abstract

A new approach is proposed to the solution of the quantum mechanical inverse scattering problem at fixed energy. The method relates the fixed energy phase shifts to those arising in an auxiliary Sturm-Liouville problem via the interpolation theory of the Weyl-Titchmarsh m-function. Then a Marchenko equation is solved to obtain the potential.

Item Type: Article
Subjects: Q Science / természettudomány > QC Physics / fizika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 15 Aug 2024 06:16
Last Modified: 15 Aug 2024 06:16
URI: https://real.mtak.hu/id/eprint/202584

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