Dynamical and spectral Dirac systems: response function and inverse problems

Alexander Sakhnovich

doi:10.1063/1.4936073

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arXiv · 1507.00032

Dynamical and spectral Dirac systems: response function and inverse problems

Alexander Sakhnovich

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Abstract

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.

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BibTeX RIS

Alexander Sakhnovich. 2015-06-30. Dynamical and spectral Dirac systems: response function and inverse problems. https://doi.org/10.1063/1.4936073

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