Inverse scattering theory and trace formulae for one-dimensional Schrödinger problems with singular potentials

Sergei B. Rutkevich, H. W. Diehl

Inverse scattering theory is extended to one-dimensional Schrödinger problems with near-boundary singularities of the form $v(z\to 0)\simeq -z^{-2}/4+v_{-1}{z}^{-1}$. Trace formulae…