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

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.

Automated summary

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.