Reconstruction of radial Dirac and Schrödinger operators from two spectra

We solve the inverse problem of reconstructing radial Dirac and Schrödinger operators acting in the unit ball of R3 from two spectra of their one-dimensional parts corresponding to a fixed nonzero angular momentum. We give a complete description of the spectral data, prove existence and uniqueness of solutions to the inverse problem, and present the reconstruction algorithm. © 2007 Elsevier Inc. All rights reserved.