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arXiv · 2012.09060

On the spectral gap of one-dimensional Schr\"odinger operators on large intervals

Joachim Kerner·Matthias Täufer
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Abstract

We study the effect of non-negative potentials on the spectral gap of one-dimensional Schr\"odinger 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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Joachim Kerner, Matthias Täufer. 2020-12-16. On the spectral gap of one-dimensional Schr\"odinger operators on large intervals. https://doi.org/10.1007/s00013-024-02060-3

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