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A lower bound on the spectral gap of one-dimensional Schr\"odinger operators

Spectral Theory 2022-10-13 v3 Mathematical Physics Classical Analysis and ODEs math.MP

Abstract

In this note we provide an explicit lower bound on the spectral gap of one-dimensional Schr\"odinger operators with non-negative bounded potentials and subject to Neumann boundary conditions.

Keywords

Cite

@article{arxiv.2102.03816,
  title  = {A lower bound on the spectral gap of one-dimensional Schr\"odinger operators},
  author = {Joachim Kerner},
  journal= {arXiv preprint arXiv:2102.03816},
  year   = {2022}
}

Comments

Improved results; title and text amended accordingly; comments welcome!