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On reflectionless equi-transmitting matrices

Pavel KurasovStockholm University Dept. of Mathematics 106 91 Stockholm, SwedenRao OgikStockholm University Dept. of Mathematics 106 91 Stockholm, SwedenAmar RaufStockholm University Dept. of Mathematics 106 91 Stockholm, Sweden
2014en
ABI

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Reflectionless equi-transmitting unitary matrices are studied in connection to matching conditions in quantum graphs. All possible such matrices of size 6 are described explicitly. It is shown that such matrices form 30 six-parameter families intersected along 12 five-parameter families closely connected to conference matrices.

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