## On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators.(English)Zbl 0666.34023

Authors’ summary: By considering the behaviour as $$N\to \infty$$ of the ration of $$L_ 2[0,N]$$ norms of solutions of $$-d^ 2u/dr^ 2+V(r)u=xu,$$ $$0\leq r<\infty$$, $$x\in {\mathbb{R}}$$, a characterization of the absolutely continuous and singular spectra of one-dimensional Schrödinger operators is deduced. The analysis is applicable to all operators for which $$L=-d^ 2/dr^ 2+V(r)$$ is regular at 0 and in the limit point case at infinity, with V(r) locally integrable.
Reviewer: B.D.Sleemann

### MSC:

 34L99 Ordinary differential operators
Full Text:

### References:

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