Spectral properties of a charged particle in antidot array: A limiting case of quantum billiard

DOI10.1063/1.531679zbMath0892.47066OpenAlexW2049489492MaRDI QIDQ5284731

B. S. Pavlov, Vladimir A. Geyler, Igor Yu. Popov

Publication date: 3 August 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531679

zbMATH Keywords

magnetic fieldquantum Hall effectquantum billiardquantum antidot lattice

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (6)

Spectral problem for solvable model of bent nano peapod ⋮ Spectral properties of graphene with periodic array of defects in a magnetic field ⋮ Fractal spectrum of periodic quantum systems in a magnetic field ⋮ Vladimir A. Geyler ⋮ Two physical applications of the Laplace operator perturbed on a null set ⋮ Localization in a periodic system of the Aharonov-Bohm rings

Cites Work

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• On Dirac's New Method of Field Quantization

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