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- W2080465718 abstract "The inverse problem for the magnetic Schrödinger operator on the lasso graph with different matching conditions at the vertex is investigated. It is proven that the Titchmarsh-Weyl function known for different values of the magnetic flux through the cycle determines the unique potential on the loop, provided the entries of the vertex scattering matrix S parametrizing matching conditions satisfy s12s23s31 ≠ s13s21s32. This is in contrast to numerous examples showing that the potential on the loop cannot be reconstructed from the boundary measurements." @default.
- W2080465718 created "2016-06-24" @default.
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- W2080465718 date "2013-04-01" @default.
- W2080465718 modified "2023-09-28" @default.
- W2080465718 title "Inverse scattering for lasso graph" @default.
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- W2080465718 doi "https://doi.org/10.1063/1.4799034" @default.
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