Periodic Potentials with Minimal Energy Bands

DOI10.2307/2159784zbMath0746.34018OpenAlexW4233322461MaRDI QIDQ3987961

Roman Svirsky, Mark S. Ashbaugh

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159784

zbMATH Keywords

potentialdifferential equationperiodic boundary conditionsHill's equationeigenvalue gaps

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (3)

The dual eigenvalue problems for the Sturm-Liouville system ⋮ Extremal spectral gaps for periodic Schrödinger operators ⋮ The dual eigenvalue problems for \(p\)-Laplacian

Cites Work

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• On minimal and maximal eigenvalue gaps and their causes
• Optimization of the characteristic values of Hill's equation subject to a p-norm constraint on the potential
• Maximal and minimal eigenvalues and their associated nonlinear equations

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