On the Green function of the Landau operator and its properties related to point interactions

DOI10.4171/ZAA/733zbMath0867.35022OpenAlexW2011697010MaRDI QIDQ2365267

V. V. Demidov, Vladimir A. Geyler

Publication date: 4 August 1997

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/733

zbMATH Keywords

explicit formulaekernel of the resolvent

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Vladimir A. Geyler ⋮ Quasi-one-dimensional nanosystems in a uniform magnetic field: Explicitly solvable model ⋮ On-diagonal singularities of the Green functions for Schrödinger operators

Cites Work

• Spectrum of a three-dimensional Landau operator perturbed by a periodic point potential
• Potentials of zero radius and Carleman operators
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
• The theory of extensions and explicitly-soluble models
• Topological interpretations of quantum Hall conductance
• The noncommutative geometry of the quantum Hall effect
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