3 papers
math.SP2025
Generating isospectral but not isomorphic quantum graphs
Mats-Erik Pistol
Quantum graphs are defined by having a Laplacian defined on the edges of a metric graph with boundary conditions on each vertex such that the resulting operator, , is s…
quant-ph2025
Families of isospectral and isoscattering quantum graphs
Pavel Kurasov, Omer Farooq, MichaÅ Åawniczak +4
A concept of germ graphs and the M-function formalism are employed to construct large families of isospectral and isoscattering graphs. This approach represents a complete departur…
math-ph2024
Cospectral trees indistinguishable by scattering
Mats-Erik Pistol, Vyacheslav Pivovarchik
Let v_1 and v_2 be two distinct vertices of a tree T_0. Let Ï_N^{(i)} (i=1,2) be the characteristic functions of the Sturm-Liouville problem on T_0 rooted at v_i with Neumann cond…