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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 451, Pages 134–155
(Mi znsl6350)
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This article is cited in 6 scientific papers (total in 6 papers)
Connection of the different types of inverse data for the one-dimensional Schrödinger operator on the half-line
A. S. Mikhaylovab, V. S. Mikhaylovab a St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, 27, Fontanka, 191023 St. Petersburg, Russia
b Saint Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034 Russia
Abstract:
We consider inverse dynamical, spectral, quantum and acoustical scattering problems for the Schrödinger operator on the half line. The goal of the paper is to establish the connections between different types of inverse data for these problems. The central objects which serve as a source for all formulaes are kernels of so-called connecting operators and Krein equations.
Key words and phrases:
inverse problem, Schrödinger operator, Boundary Control method, scattering matrix, Weyl function.
Received: 02.10.2016
Citation:
A. S. Mikhaylov, V. S. Mikhaylov, “Connection of the different types of inverse data for the one-dimensional Schrödinger operator on the half-line”, Mathematical problems in the theory of wave propagation. Part 46, Zap. Nauchn. Sem. POMI, 451, POMI, St. Petersburg, 2016, 134–155; J. Math. Sci. (N. Y.), 226:6 (2017), 779–794
Linking options:
https://www.mathnet.ru/eng/znsl6350 https://www.mathnet.ru/eng/znsl/v451/p134
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Abstract page: | 185 | Full-text PDF : | 65 | References: | 52 |
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