The eigenvalue gap for one-dimensional Schrödinger operators with symmetric potentials

DOI10.1017/S0308210507000388zbMath1178.34109MaRDI QIDQ3622043

Min-Jei Huang, Tzong-Mo Tsai

Publication date: 23 April 2009

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

symmetric potentialseigenvalue gapOne-dimensional Schrödinger operators

Mathematics Subject Classification ID

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

Related Items (5)

A survey on extremal problems of eigenvalues ⋮ The fundamental gap of a kind of sub-elliptic operator ⋮ Comparison theorems for the eigenvalue gap of Schrödinger operators on the real line ⋮ On the asymptotics of eigenvalues for a Sturm-Liouville problem with symmetric single-well potential ⋮ Instability intervals for Hill's equation with symmetric single-well potential

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