Quantum graph of Sierpinski gasket type: Computational experiment |
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| Authors: | I. V. Blinova I. Yu. Popov M. M. Sandler |
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| Affiliation: | (1) Department of Higher Mathematics, St.-Petersburg State University of Information Technologies, Mechanics and Optics, 49 Kronverkskii, St.-Petersburg, 197101, Russia |
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| Abstract: | A continuous model of the Sierpinski gasket (SG) is suggested. The Laplace operator on the SG is defined. An effective computational algorithm for solving the scattering problem is suggested. The self-similarity of the graph of transmission coefficient via the wave number k is observed. A violation of symmetry of the SG is considered. The results are compared with the discrete SG model. In memoriam V. A. Geyler |
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