Opuscula Math. 34, no. 3 (2014), 483-501
On reflectionless equi-transmitting matrices
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.