Anyons, group theory and planar physics

DOI10.1063/1.2168399zbMath1111.81079arXivmath-ph/0512007OpenAlexW3105824822MaRDI QIDQ3441654

Jaromir Tosiek, Javier Negro, Mariano A. del Olmo

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0512007

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (9)

(2 + 1)D exotic Newton-Hooke symmetry, duality and projective phase ⋮ Electric Chern--Simons term, enlarged exotic Galilei symmetry and noncommutative plane ⋮ \((2+1)\) Newton-Hooke classical and quantum systems ⋮ Solutions of string, vortex, and anyon types for the hierarchy of the nonlinear Schrödinger equation ⋮ (1 + 1) Newton–Hooke group for the simple and damped harmonic oscillator ⋮ Hamiltonian theory of anyons in crystals ⋮ An anyon model ⋮ The Maxwell group in 2+1 dimensions and its infinite-dimensional enhancements ⋮ LAUGHLIN'S WAVE FUNCTION AND ANGULAR MOMENTUM

Cites Work

• Anyon wave equations and the noncommutative plane
• Nonrelativistic anyons in external electromagnetic field
• Noncommutative planar particle dynamics with gauge interactions
• ANYONS AS SPINNING PARTICLES
• Local realizations of kinematical groups with a constant electromagnetic field. II. The nonrelativistic case
• Local realizations of kinematical groups with a constant electromagnetic field. I. The relativistic case
• Exotic Galilean symmetry in the non-commutative plane and the Hall effect
• Landau quantum systems: an approach based on symmetry
• The exotic Galilei group and the ``Peierls substitution.
• Anyon spin and the exotic central extension of the planar Galilei group
• Two phases of the noncommutative quantum mechanics

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