Optimal bounds on the fundamental spectral gap with single-well potentials

DOI10.1090/proc/14501zbMath1494.34107arXiv1807.08328OpenAlexW2963784839WikidataQ128634345 ScholiaQ128634345MaRDI QIDQ5020695

Zakaria El Allali, Evans M. II. Harrell

Publication date: 7 January 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.08328

zbMATH Keywords

Schrödinger operatorDirichlet boundary conditionssingle-well potentialsfundamental gap spectral

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (3)

Unnamed Item ⋮ The fundamental gap of a kind of sub-elliptic operator ⋮ Spectral gaps of 1-D Robin Schrödinger operators with single-well potentials

Cites Work

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• The Eigenvalue Gap for One-Dimensional Convex Potentials
• On the first two eigenvalues of Sturm-Liouville operators
• The Gap between the First Two Eigenvalues of a One-Dimensional Schrodinger Operator with Symmetric Potential

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