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This article is cited in 2 scientific papers (total in 2 papers)
Unified transform method for the Schrödinger equation on a simple metric graph
Gulmirza Khudayberganov, Zarifboy A. Sobirov, Mardonbek R. Eshimbetov National University of Uzbekistan, Universitet Str. 4, Tashkent, 100174, Uzbekistan
Abstract:
Integral-representation of solutions of the initial-boundary value problems for the Schrödinger equation on simple metric graphs was obtained with the use of the Fokas method. This method uses special generalization of the Fourier transform that is referred to as the unified transform. Obtained representation of solutions of the problem for open and closed simple star graphs allows one to identify transmitted, reflected and trapped waves at the graph branching point.
Keywords:
Schrödinger equation, metric graph, branched structure, unified transform, initial problem, Fourier transform, boundary value problem.
Received: 16.11.2018 Received in revised form: 06.02.2019 Accepted: 05.04.2019
Citation:
Gulmirza Khudayberganov, Zarifboy A. Sobirov, Mardonbek R. Eshimbetov, “Unified transform method for the Schrödinger equation on a simple metric graph”, J. Sib. Fed. Univ. Math. Phys., 12:4 (2019), 412–420
Linking options:
https://www.mathnet.ru/eng/jsfu776 https://www.mathnet.ru/eng/jsfu/v12/i4/p412
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