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

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

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Publication:4920406

DOI10.1088/1751-8113/46/4/045303zbMATH Open1267.81288arXiv1205.0460OpenAlexW2045231626MaRDI QIDQ4920406

Author name not available (Why is that?)

Publication date: 17 May 2013

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/1205.0460




Mathematics Subject Classification ID

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