Carlson, RobertPivovarchik, Vyacheslav2021-08-182021-08-182007-10-24Carlson, R., & Pivovarchik, V. (2007). Ambarzumian's theorem for trees. <i>Electronic Journal of Differential Equations, 2007</i>(142), pp. 1-9.1072-6691https://hdl.handle.net/10877/14356The classical Ambarzumian's Theorem for Schrödinger operators -D2 + q on an interval, with Neumann conditions at the endpoints, says that if the spectrum of (-D2 + q) is the same as the spectrum of (-D2) then q = 0. This theorem is generalized to Schrödinger operators on metric trees with Neumann conditions at the boundary vertices.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalInverse eigenvalue problemQuantum graphArticle