EXOTIC GALILEAN SYMMETRY AND THE HALL EFFECT

DOI10.1142/S021797920201169XzbMath1073.81622arXivhep-th/0111033MaRDI QIDQ5312054

Peter A. Horvathy, Christian Duval

Publication date: 30 August 2005

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

Full work available at URL: https://arxiv.org/abs/hep-th/0111033

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry and quantization, symplectic methods (81S10) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

• Moyal quantization of 2+1-dimensional Galilean systems
• Hamiltonian reduction of unconstrained and constrained systems
• The exotic Galilei group and the ``Peierls substitution.
• Quantum mechanics on the noncommutative plane and sphere

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