Discretization of the Schrödinger spectral problem
Abstract
Exact discretization of the Schrödinger operator in connection with onedimensional inverse scattering theory and the RiemannHilbert problem are discussed. By comparing the discrete and the continuous Green functions, qualitative estimates for the discrete spectral problem are obtained. Birational automorphisms of transparent potentials are described.
 Publication:

Inverse Problems
 Pub Date:
 August 2002
 DOI:
 10.1088/02665611/18/4/304
 Bibcode:
 2002InvPr..18.1003S