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arXiv · 2002.06900

The fundamental gap for a one-dimensional Schr\"odinger operator with Robin boundary conditions

Ben Andrews·Julie Clutterbuck·Daniel Hauer
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Abstract

For Schr\"odinger operators on an interval with either convex or symmetric single-well potentials, and Robin or Neumann boundary conditions, the gap between the two lowest eigenvalues is minimised when the potential is constant. We also have results for the $p$-Laplacian.

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Ben Andrews, Julie Clutterbuck, Daniel Hauer. 2020-02-17. The fundamental gap for a one-dimensional Schr\"odinger operator with Robin boundary conditions. https://arxiv.org/abs/2002.06900

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