4.2 Article

Lower bounds on the spectral gap of one-dimensional Schrodinger operators

Journal

ARCHIV DER MATHEMATIK
Volume 119, Issue 6, Pages 613-622

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s00013-022-01786-2

Keywords

Spectral gap; Schrodinger operators; Eigenvalues

Categories

Funding

  1. Projekt DEAL

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We study the spectral gap of one-dimensional Schrodinger operators with non-negative bounded potentials and Neumann boundary conditions. We establish an explicit lower bound, and provide an improved lower bound for a smaller class of potentials that holds on large intervals.
We establish an explicit lower bound on the spectral gap of one-dimensional Schrodinger operators with non-negative bounded potentials and subject to Neumann boundary conditions. In addition, for a smaller class of potentials, we provide an improved lower bound which holds on large intervals.

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