On the semiclassical approximation to the eigenvalue gap of Schrödinger operators

DOI10.1016/j.jmaa.2012.01.002zbMath1242.34151OpenAlexW2051075129MaRDI QIDQ764963

Min-Jei Huang, Duo-Yuan Chen

Publication date: 16 March 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.01.002

zbMATH Keywords

periodic potentialsemiclassical limiteigenvalue gapone dimensional Schrödinger operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

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• Semiclassical analysis of low lying eigenvalues. II: Tunneling
• Universal lower bounds on eigenvalue splittings for one dimensional Schrödinger operators
• A remark on eigenvalue splittings for one-dimensional double-well Hamiltonians
• Comparison theorems for the gap of Schrödinger operators
• Double wells
• Introduction to spectral theory. With applications to Schrödinger operators

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