- 97-530 Kiselev A., Remling C., Simon B.
- Effective Perturbation Methods for One-Dimensional
Schrodinger Operators
(47K, LaTeX)
Oct 2, 97
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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.
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97-530.tex