Hamiltonians for the quantum Hall effect on spaces with non-constant metrics

DOI10.1007/s10773-006-9218-9zbMath1110.83005arXivmath-ph/0607051OpenAlexW3104351967MaRDI QIDQ873196

Paul Bracken

Publication date: 28 March 2007

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0607051

zbMATH Keywords

HamiltonianLaplace-Beltrami operatorquantum Hall effecthyperbolic metric

Mathematics Subject Classification ID

Methods of quantum field theory in general relativity and gravitational theory (83C47) Equations of motion in general relativity and gravitational theory (83C10)

Related Items

Motion on constant curvature spaces and quantization using noether symmetries, Landau levels as a limiting case of a model with the Morse-like magnetic field, Free particle and isotropic harmonic oscillator on a spheroidal surface: The Higgs-like approach, The minimum-uncertainty coherent states for Landau levels

Uses Software

• Maple

Cites Work

• Quantum Hall effect in higher dimensions
• Quantum Hall effect on higher-dimensional spaces
• On the Landau levels on the hyperbolic plane
• The effective action for edge states in higher-dimensional quantum Hall systems
• Quantum Hall conductivity in a Landau type model with a realistic geometry. II
• Quantum mechanics and quantum Hall effect on Riemann surfaces
• The special functions and their approximations. Vol. I, II
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles
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