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math.SP2022★ 9 cited
Distinguishing co-spectral quantum graphs by scattering
Delio Mugnolo, Vyacheslav Pivovarchik
We propose a simple method for resolution of co-spectrality of Schrödinger operators on metric graphs. Our approach consists of attaching a lead to them and comparing the -funct…
math-ph2022
On recovering the shape of a quantum tree from the spectrum of the Dirichlet boundary problem
Olga Boyko, Olga Martynyuk, Vyacheslav Pivovarchik
Spectral problems are considered generated by the Sturm-Liouville equation on equilateral trees with the Dirichlet boundary conditions at the pendant vertices and continuity and Ki…