The Gap between the First Two Eigenvalues of a One-Dimensional Schrodinger Operator with Symmetric Potential

DOI10.2307/2048335zbMath0724.34089OpenAlexW4231109148MaRDI QIDQ5758526

Shoshana Abramovich

Publication date: 1991

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

Full work available at URL: https://doi.org/10.2307/2048335

zbMATH Keywords

Schrödinger operatorseigenvalue gapsymmetric double-well potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (9)

On the first two eigenvalues of Sturm-Liouville operators ⋮ On the spectral gap of higher-dimensional Schrödinger operators on large domains ⋮ Comparison theorems for the eigenvalue gap of Schrödinger operators on the real line ⋮ Spectral gaps of 1-D Robin Schrödinger operators with single-well potentials ⋮ On frequencies of strings and deformations of beams ⋮ The gap between the first two eigenvalues of Schrödinger operators with single-well potential ⋮ The eigenvalue gap for vibrating strings with symmetric densities ⋮ Lower bounds on the spectral gap of one-dimensional Schrödinger operators ⋮ Optimal bounds on the fundamental spectral gap with single-well potentials

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