Common eigenvalue problem and periodic Schrödinger operators

DOI10.1006/jfan.1999.3406zbMath0933.47032OpenAlexW2094298689MaRDI QIDQ1300172

Vladimir A. Mikhailets, Alexander V. Sobolev

Publication date: 4 April 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3406

zbMATH Keywords

symmetric operatordeficiency indicesselfadjoint extensionsboundary value spacespurely residual spectrumSchrödinger operator with local point interactionsspectral theory of periodic differential operators

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Eigenvalue problems for linear operators (47A75) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Dilations, extensions, compressions of linear operators (47A20)

Related Items (6)

Cantor and band spectra for periodic quantum graphs with magnetic fields ⋮ SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS ⋮ Stability and instability regions of second-order equations with periodic point interactions on time scales ⋮ M-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems ⋮ Povzner-Wienholtz-type theorems for Sturm-Liouville operators with singular coefficients ⋮ Spectral asymptotics for Schrödinger operators with periodic point interactions

Cites Work

• The spectra of self-adjoint extensions of a symmetric operator
• One-dimensional Schrödinger operators with local point interactions.
• Abstract Symmetric Boundary Conditions
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