In this work, we study the Schrödinger operator on the half-line with a selfadjoint boundary condition. We prove that a particular set of eigenvalues can uniquely determine the potential. The reconstruction algorithm for recovering the potential from the particular data is provided.
"Recovery of the Schrödinger Operator on the Half-line from a Particular Set of Eigenvalues." Taiwanese J. Math. 21 (6) 1325 - 1334, December, 2017. https://doi.org/10.11650/tjm/8026