First Chern class of lattice magneto-Bloch bundles

DOI10.1016/S0034-4877(97)84886-0zbMath0885.47027OpenAlexW2014640738MaRDI QIDQ1373568

Vladimir A. Geyler

Publication date: 26 April 1998

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)84886-0

zbMATH Keywords

lattice Hamiltonians with magnetic fieldsmagnetic translation groupmagneto-Bloch bundles

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (1)

Vladimir A. Geyler

Cites Work

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• Group-theoretical analysis of lattice Hamiltonians with a magnetic field
• Analysis of the spectrum of a particle on a triangular lattice with two magnetic fluxes by algebraic and numerical methods
• Topological interpretations of quantum Hall conductance
• The noncommutative geometry of the quantum Hall effect

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