On eigenpairs of Schrödinger equation with multiwell potential

DOI10.1016/j.jmaa.2006.10.008zbMath1120.34069OpenAlexW1986930637MaRDI QIDQ882005

Chie-Ping Chu

Publication date: 23 May 2007

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.2006.10.008

zbMATH Keywords

Schrödinger equationestimation of nodal pointsgeometric feature of eigenfunctionsmonotonicity property of eigenvaluesmultiwell potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (1)

Some comparison theorems on eigenvalues for one dimensional Schrödinger operators with applications

Cites Work

• Universal lower bounds on eigenvalue splittings for one dimensional Schrödinger operators
• Double wells
• Convexity of the first eigenfunctions of Sturm--Liouville eigenvalue problems.
• The eigenvalue and trace of the Sturm-Liouville operator as differentiable functions of a summable potential
• Location of zeros for Neumann Sturm-Liouville eigenfunctions
• On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
• Oscillation of Eigenfunctions of Weighted Regular Sturm-Liouville Problems
• Unnamed Item

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