2015/07/31 by Alexander Sakhnovich · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.AP #math.CA #math.DS #math.MP #math.SP #msc:34B20 #msc:35B30 #msc:35Q41 #msc:37D99 #msc:70Q05
paper · pdf · doi:10.1063/1.4936073
published as J. Math. Phys. 56, 112702 (2015) · Some explanations (see p.3 and Remark 4.2) and several references are added in this version
arxiv created 2015/08/03 · arxiv updated 2016/11/03
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.