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A note on the Schr\"odinger operator with a long-range potential. (arXiv:1810.03112v1 [math.SP])
来源于:arXiv
Our goal is to develop spectral and scattering theories for the
one-dimensional Schr\"odinger operator with a long-range potential $q(x)$,
$x\geq 0$. Traditionally, this problem is studied with a help of the
Green-Liouville approximation. This requires conditions on the first two
derivatives $q' (x)$ and $q'' (x)$. We suggest a new Ansatz that allows us to
develop a consistent theory under the only assumption $q' \in L^1$. 查看全文>>