04-30 Tuncay Aktosun and Ricardo Weder
Inverse Spectral-Scattering Problem with Two Sets of Discrete Spectra for the Radial Schroedinger Equation (102K, AMS TEX) Feb 9, 04
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. The Schroedinger equation on the half line is considered with a real-valued, integrable potential having a finite first moment. It is shown that the potential and the boundary conditions are uniquely determined by the data containing the discrete eigenvalues for a boundary condition at the origin, the continuous part of the spectral measure for that boundary condition, and a subset of the discrete eigenvalues for a different boundary condition. This result extends the celebrated two-spectrum uniqueness theorem of Borg and Marchenko to the case where there is also a continuous spectrum.

Files: 04-30.src( 04-30.keywords , newdirichlet43.tex )