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

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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About the authors ▼
Pavel Kurasov
Stockholm University, Dept. of Mathematics, 106 91 Stockholm, Sweden
Rao Ogik
Stockholm University, Dept. of Mathematics, 106 91 Stockholm, Sweden
Amar Rauf
Stockholm University, Dept. of Mathematics, 106 91 Stockholm, Sweden
About the article ▼
Received: 2013-09-05.
Accepted: 2014-02-20.
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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