Quasi-one-dimensional nanosystems in a uniform magnetic field: Explicitly solvable model

DOI10.1016/S0034-4877(99)80140-2zbMath0964.81028MaRDI QIDQ1573846

O. G. Kostrov, Sergio A. Albeverio, Vladimir A. Geyler

Publication date: 9 August 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

band structurethree-dimensional Schrödinger operatorperiodic chain of point scatterers

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Statistical mechanics of solids (82D20)

Related Items (1)

Quantum mechanics of layers with a finite number of point perturbations

Cites Work

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• Commutative properties of singularly perturbed operators
• Spectrum of a three-dimensional Landau operator perturbed by a periodic point potential
• Potentials of zero radius and Carleman operators
• The band structure of the general periodic Schrödinger operator with point interactions
• On the Green function of the Landau operator and its properties related to point interactions
• The theory of extensions and explicitly-soluble models

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