ArticleScientific reports2025
Isoscattering non-isospectral quantum graphs.
Article in Scientific reports, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
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4 authors.
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Abstract
Using the formalism of the Titchmarsh-Weyl M-function we study a pair of isoscattering non-isospectral quantum graphs. These graphs have the same total length L, but different topologies. The isoscattering but non-isospectral quantum graphs are difficult to identify and very complex to analyze. However, failing to recognize their existence will lead to incorrect interpretation of the spectra. We show that a potential experimental solution to this problem could involve constructing a pair of parameter-dependent non-isoscattering and non-isospectral graphs with the same total length L. Subsequently, by implementing the transition of the parameter towards zero, it can be demonstrated that the graphs transform into a pair of isoscattering graphs that remain non-isospectral. These theoretical predictions are subjected to experimental verification using microwave networks.
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