论文标题

在一维Schrödinger操作员的光谱间隙上

On the spectral gap of one-dimensional Schrödinger operators on large intervals

论文作者

Kerner, Joachim, Täufer, Matthias

论文摘要

我们研究了非负势对大间隔限制一维schrödinger操作员光谱差距的影响。特别是,我们为不同类别的电位的差距上的上限和下限得出了其渐近行为的特征。

We study the effect of non-negative potentials on the spectral gap of one-dimensional Schrödinger operators in the limit of large intervals. In particular, we derive upper and lower bounds on the gap for different classes of potentials which characterize its asymptotic behaviour.

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