The asymptotic behavior of the discrete spectrum in the gaps of the continuous spectrum of a perturbed Hill operator

DOI10.1007/BF01079606zbMath0828.34072OpenAlexW2071443654MaRDI QIDQ1814373

Alexander V. Sobolev

Publication date: 25 June 1992

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01079606

zbMATH Keywords

asymptotic behavior of the discrete spectrum in the gaps of the continuous spectrumperturbed Hill operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items

Critical Lieb-Thirring bounds in gaps and the generalized Nevai conjecture for finite gap Jacobi matrices

Cites Work

• The discrete spectrum in the gaps of a second-order perturbed periodic operator
• On the existence of eigenvalues of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
• Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
• On the asymptotic distribution of the eigenvalue branches of the Schrödinger operator HW in a spectral gap of H.
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