Spin and exotic Galilean symmetry

Abstract

A slightly modified and regularized version of the non-relativistic limit of the relativistic anyon model considered by Jackiw and Nair yields particles associated with the twofold central extension of the Galilei group, with independent spin and exotic structure.

Revised version: a new example added. 10 pages, LaTex, no figures

References in corpus (4)

• Exotic galilean symmetry in the non-commutative plane, and the Hall effect
• Two phases of the noncommutative quantum mechanics
• Phases in noncommutative quantum mechanics on (pseudo)sphere
• Second central extension in Galilean covariant field theory

Cited by in corpus (28)

• Exotic Galilean Conformal Symmetry and its Dynamical Realisations
• Anyon wave equations and the noncommutative plane
• Comments on Galilean conformal field theories and their geometric realization
• A Chern-Simons approach to Galilean quantum gravity in 2+1 dimensions
• Non-relativistic conformal symmetries in fluid mechanics
• Galilean quantum gravity with cosmological constant and the extended q-Heisenberg algebra
• Bosons, fermions and anyons in the plane, and supersymmetry
• Magnetic-Dipole Spin Effects in Noncommutative Quantum Mechanics
• Aharonov-Bohm effect in a Class of Noncommutative Theories
• Exotic galilean symmetry and non-commutative mechanics
• Affine Extension of Galilean Conformal Algebra in 2+1 Dimensions
• Anyons with anomalous gyromagnetic ratio & the Hall effect
• Enlarged Galilean symmetry of anyons and the Hall effect
• Galilean symmetry in noncommutative field theory
• Non-commutative Supersymmetric Quantum Mechanics
• Bosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane
• Path-integral quantization of Galilean Fermi fields
• Non-relativistic spin-3 symmetries in 2+1 dimensions from expanded/extended Nappi-Witten algebras
• Non-Relativistic Limits of Colored Gravity in Three Dimensions
• Noncommutative geometry induced by spin effects
• From Lorentzian to Galilean (2+1) gravity: Drinfel'd doubles, quantisation and noncommutative spacetimes
• Transverse Shifts in Paraxial Spinoptics
• Quantum dot with spin-orbit interaction in noncommutative phase space and analog Landau levels
• Three-dimensional non-relativistic Hietarinta supergravity
• Spin operator and spin states in Galilean covariant Fermi field theories
• Galilei Group with multiple central extension, vorticity and entropy generation: "Exotic" fluid in 3+1-dimensions
• Symplectic Fluctuations for Electromagnetic Excitations of Hall Droplets
• Dynamics determines geometry