ACTA

Do Isoscattering Graphs Must Have the Same Eigenvalues?

M. Ławniczak^a, O. Farooq^a, S. Bauch^a, P. Kurasov^b, L. Sirko^a
^aInstitute of Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668 Warszawa, Poland
^bDepartment of Mathematics, Stockholm University, 106 91 Stockholm, Sweden

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Our study focuses on isoscattering quantum graphs and their eigenvalues. Contrary to the prevailing assumption that isoscattering graphs are isospectral, we present a new example of non-isospectral isoscattering graphs and study their properties. Additionally, we expanded our research to include dissipative graphs that can be realized and studied experimentally using microwave networks.

DOI:10.12693/APhysPolA.148.S9
topics: quantum graphs, M-function, isoscattering graphs, isospectral graphs