Kiselev A., Remling C., Simon B.
Effective Perturbation Methods for One-Dimensional
Schrodinger Operators
(47K, LaTeX)
ABSTRACT. We introduce a general Prufer type transformation
for discrete and continuous one-dimensional Schrodinger
operators. This transformation relates the solutions of
-y''+(V_0+V)y=Ey to a reference solution of the unperturbed
equation -y''+V_0 y=Ey. We use these transforms to study
embedded eigenvalues and perturbations of absolutely
continuous spectra by potentials of Pearson type.