On minimal and maximal eigenvalue gaps and their causes

DOI10.2140/PJM.1991.147.1zbMath0734.35061OpenAlexW2059626483MaRDI QIDQ810750

Roman Svirsky, Mark S. Ashbaugh, Evans M. II. Harrell

Publication date: 1991

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1991.147.1

zbMATH Keywords

Schrödinger operatorenergy levelsdouble-well potentialseigenvalue gapsoptimizing potentials

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (12)

Optimal maximal gaps of Dirichlet eigenvalues of Sturm–Liouville operators ⋮ On the minimum eigenvalue gap for vibrating string ⋮ A survey on extremal problems of eigenvalues ⋮ On the polynomial integrability of the critical systems for optimal eigenvalue gaps ⋮ The fundamental gap of a kind of sub-elliptic operator ⋮ Rearrangement inequalities and applications to isoperimetric problems for eigenvalues ⋮ Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string ⋮ Periodic Potentials with Minimal Energy Bands ⋮ Optimal measures for the fundamental gap of Schrödinger operators ⋮ Critical potentials of the eigenvalue ratios of Schrödinger operators ⋮ Critical potentials of the eigenvalues and eigenvalue gaps of Schrödinger operators ⋮ Optimal bounds on the fundamental spectral gap with single-well potentials

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