Dynamical and spectral Dirac systems: response function and inverse problems

Dynamical and spectral Dirac systems: response function and inverse problems

We establish simple connections between response functions of the dynamical Dirac systems and A-amplitudes and Weyl functions of the spectral Dirac systems. Using these connections, we propose a new and rigorous procedure to recover a general-type dynamical Dirac system from its response function as...

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Veröffentlicht in:Journal of mathematical physics 2015-11, Vol.56 (11), p.112702
1. Verfasser: Sakhnovich, A. L.
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Sprache:eng
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Inverse problems
Physics
Response functions
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creator Sakhnovich, A. L.
description We establish simple connections between response functions of the dynamical Dirac systems and A-amplitudes and Weyl functions of the spectral Dirac systems. Using these connections, we propose a new and rigorous procedure to recover a general-type dynamical Dirac system from its response function as well as a procedure to construct explicit solutions of this problem.
doi_str_mv 10.1063/1.4936073
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subjects Inverse problems
Physics
Response functions
title Dynamical and spectral Dirac systems: response function and inverse problems
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