Geodesic
Dynamical inverse problem for the discrete Schr\"odinger operator
Nanosistemy: fizika, himiâ, matematika, Tome 7 (2016) no. 5, pp. 842-853.

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We consider the inverse problem for the dynamical system with discrete Schrödinger operator and discrete time. As inverse data, we take a response operator, the natural analog of the dynamical Dirichlet-to-Neumann map. We derive two types of equations of inverse problem and answer a question on the characterization of the inverse data, i.e. we describe the set of operators, which are response operators of the dynamical system governed by the discrete Schrödinger operator.
Keywords: inverse problem, discrete Schrödinger operator, Boundary Control method, characterization of inverse data. 
@article{NANO_2016_7_5_a5,
     author = {A. S. Mikhailov and V. S. Mikhailov},
     title = {Dynamical inverse problem for the discrete {Schr\"odinger} operator},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {842--853},
     publisher = {mathdoc},
     volume = {7},
     number = {5},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2016_7_5_a5/}
}
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A. S. Mikhailov; V. S. Mikhailov. Dynamical inverse problem for the discrete Schr\"odinger operator. Nanosistemy: fizika, himiâ, matematika, Tome 7 (2016) no. 5, pp. 842-853. http://geodesic.mathdoc.fr/item/NANO_2016_7_5_a5/