The gap between the first two eigenvalues of Schrödinger operators with single-well potential

DOI10.1016/J.AMC.2015.06.078zbMath1410.34259OpenAlexW744748993MaRDI QIDQ668109

Chuan-Fu Yang, Xiu-Juan Yu

Publication date: 18 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.078

zbMATH Keywords

Schrödinger operatoreigenvalue gapsingle-well potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (4)

Unnamed Item ⋮ The eigenvalue ratio of the vibrating strings with mixed boundary condition ⋮ The fundamental gap of a kind of sub-elliptic operator ⋮ Optimal bounds on the fundamental spectral gap with single-well potentials

Cites Work

• The dual eigenvalue problems for the Sturm-Liouville system
• Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials
• The Eigenvalue Gap for One-Dimensional Convex Potentials
• The Gap between the First Two Eigenvalues of a One-Dimensional Schrodinger Operator with Symmetric Potential

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