Recovering the shape of a quantum tree by two spectra
arXiv:2301.05939
Abstract
We show how to find the shape of an equilateral tree using the spectra of the Neumann and the Dirichlet problems generated by the Sturm-Liouville equation. In case of snowflake trees the spectra of the Neumann and Dirichlet problems uniquely determine the shape of the tree.
10 pages, 3 figures