The fundamental gap for a one-dimensional Schr\"odinger operator with Robin boundary conditions
Classical Analysis and ODEs
2020-02-18 v1 Spectral Theory
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 -Laplacian.
Keywords
Cite
@article{arxiv.2002.06900,
title = {The fundamental gap for a one-dimensional Schr\"odinger operator with Robin boundary conditions},
author = {Ben Andrews and Julie Clutterbuck and Daniel Hauer},
journal= {arXiv preprint arXiv:2002.06900},
year = {2020}
}