On the bands of the Schrödinger operator with a matrix potential

DOI10.1002/mana.202100481arXiv2109.00999MaRDI QIDQ6093820

Oktay A. Veliev

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.00999

zbMATH Keywords

spectral bandsself-adjoint differential operatorperiodic matrix potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (1)

On the spectrum of the differential operators of even order with periodic matrix coefficients

Cites Work

• Uniform convergence of the spectral expansion for a differential operator with periodic matrix coefficients
• On non-self-adjoint Sturm-Liouville operators with matrix potentials
• Operators commuting with translation by one. II: Differential operators with periodic coefficients in \(L_ p(-\infty,\infty)\)
• On Hill's operator with a matrix potential
• A CHARACTERIZATION OF THE SPECTRUM OF HILL'S OPERATOR
• Spectral estimates for Schrodinger operators with periodic matrix potentials on the real line
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