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

School of Mathematics

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

7 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
DOIs	https://doi.org/10.1090/proc/15140
Publication status	Published - Apr 2021

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10.1090/proc/15140

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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",

year = "2021",

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AU - Hauer, Daniel

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N2 - 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.

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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U2 - 10.1090/proc/15140

DO - 10.1090/proc/15140

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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The fundamental gap for a one-dimensional schrödinger operator with robin boundary conditions

Abstract

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Curvature flows and spectral estimates.

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The fundamental gap for a one-dimensional schrödinger operator with robin boundary conditions

Abstract

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Projects

Curvature flows and spectral estimates.

Cite this