Perturbations of periodic Sturm-Liouville operators

DOI10.1016/j.aim.2023.109022OpenAlexW3164801582WikidataQ122809746 ScholiaQ122809746MaRDI QIDQ2700636

Philipp Schmitz, Jussi Behrndt, Carsten Trunk, Gerald Teschl

Publication date: 27 April 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.13186

zbMATH Keywords

perturbationsdiscrete eigenvaluesessential spectrumabsolutely continuous spectrumspectral gapsperiodic Sturm-Liouville operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Periodic differential operators
• Effective Prüfer angles and relative oscillation criteria
• Spectral theory of ordinary differential operators
• Critical coupling constants and eigenvalue asymptotics of perturbed periodic Sturm-Liouville operators
• Scattering theory for Schrödinger operators on steplike, almost periodic infinite-gap backgrounds
• An overview of periodic elliptic operators
• On the absolutely continuous spectrum of perturbed periodic Sturm-Liouville operators.
• On the absolutely continuous spectrum of Sturm-Liouville operators with applications to radial quantum trees
• THE DIRECT AND INVERSE SCATTERING PROBLEMS FOR THE ONE-DIMENSIONAL PERTURBED HILL OPERATOR
• Zeros of the Wronskian and Renormalized Oscillation Theory

This page was built for publication: Perturbations of periodic Sturm-Liouville operators