Anyons, group theory and planar physics
arXiv:math-ph/0512007 · doi:10.1063/1.2168399
Abstract
Relativistic and nonrelativistic anyons are described in a unified formalism by means of the coadjoint orbits of the symmetry groups in the free case as well as when there is an interaction with a constant electromagnetic field. To deal with interactions we introduce the extended Poincaré and Galilei Maxwell groups.
22 pages, journal reference added, bibliography updated
References in corpus (9)
- The exotic Galilei group and the "Peierls substitution"
- Exotic galilean symmetry in the non-commutative plane, and the Hall effect
- Galilean-Invariant (2+1)-Dimensional Models with a Chern-Simons-Like Term and D=2 N oncommutative Geometry
- Two phases of the noncommutative quantum mechanics
- Anyon wave equations and the noncommutative plane
- Anyons as spinning particles
- Noncommutative Chern-Simons Solitons
- Noncommutative Planar Particle Dynamics with Gauge Interactions
- Landau quantum systems: an approach based on symmetry
Cited by in corpus (7)
- (2+1)D Exotic Newton-Hooke Symmetry, Duality and Projective Phase
- A Chern-Simons approach to Galilean quantum gravity in 2+1 dimensions
- Exotic galilean symmetry and non-commutative mechanics
- Electric Chern-Simons term, enlarged exotic Galilei symmetry and noncommutative plane
- The Maxwell group in 2+1 dimensions and its infinite-dimensional enhancements
- Exotic Non-relativistic String
- (1+1) Newton-Hooke Group for the Simple and Damped Harmonic Oscillator