The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions

Ben Andrews; Julie Clutterbuck; Daniel Hauer

doi:10.1090/proc/15140

The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions

Ben Andrews
, Julie Clutterbuck
, Daniel Hauer

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

For Schrödinger 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 minimized when the potential is constant. We also have results for the p-Laplacian.

Original language	English
Pages (from-to)	1481-1493
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	149
Issue number	4
Early online date	1 Feb 2021
DOIs	https://doi.org/10.1090/proc/15140
Publication status	Published - Apr 2021

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title = "The fundamental gap for a one-dimensional Schr{\"o}dinger operator with Robin boundary conditions",

abstract = "For Schr{\"o}dinger 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 minimized when the potential is constant. We also have results for the p-Laplacian.",

author = "Ben Andrews and Julie Clutterbuck and Daniel Hauer",

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AB - For Schrödinger 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 minimized when the potential is constant. We also have results for the p-Laplacian.

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JF - Proceedings of the American Mathematical Society

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The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions

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