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.
Format: Artikel
Sprache:eng
Schlagworte:
Inverse problems
Physics
Response functions
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Zusammenfassung: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4936073