Opuscula Math. 34, no. 3 (2014), 483-501

Opuscula Mathematica

On reflectionless equi-transmitting matrices

Pavel Kurasov
Rao Ogik
Amar Rauf

Abstract. 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.

Keywords: quantum graphs, vertex scattering matrix, equi-transmitting matrices.

Mathematics Subject Classification: 34L25, 81U40, 35P25, 81V99.

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Cite this article as:
Pavel Kurasov, Rao Ogik, Amar Rauf, On reflectionless equi-transmitting matrices, Opuscula Math. 34, no. 3 (2014), 483-501, http://dx.doi.org/10.7494/OpMath.2014.34.3.483

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