Eigenvalue excluding for perturbed-periodic one-dimensional Schrödinger operators

DOI10.1098/rspa.2011.0159zbMath1364.34124OpenAlexW2074240107MaRDI QIDQ5345918

Michael Plum, Kaori Nagatou, Mitsuhiro T. Nakao

Publication date: 7 June 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2011.0159

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40)

Related Items (4)

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Cites Work

• Relative oscillation theory, weighted zeros of the Wronskian, and the spectral shift function
• Effective Prüfer angles and relative oscillation criteria
• On the existence of eigenvalues of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
• On the eigenvalues of operators with gaps. Application to Dirac operators
• Critical coupling constants and eigenvalue asymptotics of perturbed periodic Sturm-Liouville operators
• On the approximation of isolated eigenvalues of ordinary differential operators
• Spectral pollution
• On approximation of the eigenvalues of perturbed periodic Schrödinger operators

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