On eigenvalue bounds for a general class of Sturm-Liouville operators

DOI10.1007/s11040-016-9230-0zbMath1413.34291arXiv1608.02219OpenAlexW2490378452MaRDI QIDQ1663438

Christian Seifert

Publication date: 21 August 2018

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02219

zbMATH Keywords

eigenvalue problemSturm-Liouville operatorstransfer matricesJacobi operatorsquasiperiodic 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) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (1)

Limit-periodic Dirac operators with thin spectra

Cites Work

• Sturm-Liouville operators with measure-valued coefficients
• A sufficient condition for the continuity of the spectrum of a discrete Schrödinger operator
• A weak Gordon type condition for absence of eigenvalues of one-dimensional Schrödinger operators
• Direct and inverse spectral theory of one-dimensional Schrödinger operators with measures
• Purely singular continuous spectrum for Sturmian CMV matrices via strengthened Gordon Lemmas
• Gordon type Theorem for measure perturbation
• A version of Gordon’s theorem for multi-dimensional Schrödinger operators
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